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Finding the Fourth Proportional to 224,931.90, 310,414.38 and 122,964.15

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Solution

The fourth proportional to 224,931.90, 310,414.38 and 122,964.15 is: 169,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,931.90 : 310,414.38 = 122,964.15 : x
  2. Step 2: Convert to fraction form
    224,931.90/310,414.38 = 122,964.15/x
  3. Step 3: Cross multiply
    224,931.90x = 310,414.38 × 122,964.15
  4. Step 4: Simplify right side
    224,931.90x = 38,169,840,384.48
  5. Step 5: Solve for x
    x = 38,169,840,384.48/224,931.90
  6. Step 6: Final answer
    x = 169,695.10

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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.