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Finding the Fourth Proportional to 224,748, 310,152.24 and 124,146

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Solution

The fourth proportional to 224,748, 310,152.24 and 124,146 is: 171,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,748 : 310,152.24 = 124,146 : x
  2. Step 2: Convert to fraction form
    224,748/310,152.24 = 124,146/x
  3. Step 3: Cross multiply
    224,748x = 310,152.24 × 124,146
  4. Step 4: Simplify right side
    224,748x = 38,504,159,987.04
  5. Step 5: Solve for x
    x = 38,504,159,987.04/224,748
  6. Step 6: Final answer
    x = 171,321.48

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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.