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Finding the Fourth Proportional to 229,167.15, 316,308.80 and 156,599.41

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Solution

The fourth proportional to 229,167.15, 316,308.80 and 156,599.41 is: 216,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,167.15 : 316,308.80 = 156,599.41 : x
  2. Step 2: Convert to fraction form
    229,167.15/316,308.80 = 156,599.41/x
  3. Step 3: Cross multiply
    229,167.15x = 316,308.80 × 156,599.41
  4. Step 4: Simplify right side
    229,167.15x = 49,533,772,105.17
  5. Step 5: Solve for x
    x = 49,533,772,105.17/229,167.15
  6. Step 6: Final answer
    x = 216,146.91

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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.