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Finding the Fourth Proportional to 224,798.83, 310,218.76 and 122,822.11

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Solution

The fourth proportional to 224,798.83, 310,218.76 and 122,822.11 is: 169,492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,798.83 : 310,218.76 = 122,822.11 : x
  2. Step 2: Convert to fraction form
    224,798.83/310,218.76 = 122,822.11/x
  3. Step 3: Cross multiply
    224,798.83x = 310,218.76 × 122,822.11
  4. Step 4: Simplify right side
    224,798.83x = 38,101,722,664.78
  5. Step 5: Solve for x
    x = 38,101,722,664.78/224,798.83
  6. Step 6: Final answer
    x = 169,492.53

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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.