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Finding the Fourth Proportional to 224,784.56, 310,224.14 and 122,825.51

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Solution

The fourth proportional to 224,784.56, 310,224.14 and 122,825.51 is: 169,510.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,784.56 : 310,224.14 = 122,825.51 : x
  2. Step 2: Convert to fraction form
    224,784.56/310,224.14 = 122,825.51/x
  3. Step 3: Cross multiply
    224,784.56x = 310,224.14 × 122,825.51
  4. Step 4: Simplify right side
    224,784.56x = 38,103,436,044.56
  5. Step 5: Solve for x
    x = 38,103,436,044.56/224,784.56
  6. Step 6: Final answer
    x = 169,510.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.