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Finding the Fourth Proportional to 229,567.96, 316,802.10 and 128,965.96

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Solution

The fourth proportional to 229,567.96, 316,802.10 and 128,965.96 is: 177,972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,567.96 : 316,802.10 = 128,965.96 : x
  2. Step 2: Convert to fraction form
    229,567.96/316,802.10 = 128,965.96/x
  3. Step 3: Cross multiply
    229,567.96x = 316,802.10 × 128,965.96
  4. Step 4: Simplify right side
    229,567.96x = 40,856,686,956.52
  5. Step 5: Solve for x
    x = 40,856,686,956.52/229,567.96
  6. Step 6: Final answer
    x = 177,972.08

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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.