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Finding the Fourth Proportional to 224,070, 309,223.08 and 123,474.48

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Solution

The fourth proportional to 224,070, 309,223.08 and 123,474.48 is: 170,398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,070 : 309,223.08 = 123,474.48 : x
  2. Step 2: Convert to fraction form
    224,070/309,223.08 = 123,474.48/x
  3. Step 3: Cross multiply
    224,070x = 309,223.08 × 123,474.48
  4. Step 4: Simplify right side
    224,070x = 38,181,159,007.00
  5. Step 5: Solve for x
    x = 38,181,159,007.00/224,070
  6. Step 6: Final answer
    x = 170,398.35

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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.