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Finding the Fourth Proportional to 157,184.64, 216,914.82 and 85,565.20

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Solution

The fourth proportional to 157,184.64, 216,914.82 and 85,565.20 is: 118,079.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,184.64 : 216,914.82 = 85,565.20 : x
  2. Step 2: Convert to fraction form
    157,184.64/216,914.82 = 85,565.20/x
  3. Step 3: Cross multiply
    157,184.64x = 216,914.82 × 85,565.20
  4. Step 4: Simplify right side
    157,184.64x = 18,560,358,871.69
  5. Step 5: Solve for x
    x = 18,560,358,871.69/157,184.64
  6. Step 6: Final answer
    x = 118,079.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.