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Finding the Fourth Proportional to 229,472.64, 316,653.44 and 127,501.20

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Solution

The fourth proportional to 229,472.64, 316,653.44 and 127,501.20 is: 175,941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,472.64 : 316,653.44 = 127,501.20 : x
  2. Step 2: Convert to fraction form
    229,472.64/316,653.44 = 127,501.20/x
  3. Step 3: Cross multiply
    229,472.64x = 316,653.44 × 127,501.20
  4. Step 4: Simplify right side
    229,472.64x = 40,373,693,584.13
  5. Step 5: Solve for x
    x = 40,373,693,584.13/229,472.64
  6. Step 6: Final answer
    x = 175,941.21

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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.