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Finding the Fourth Proportional to 157,059.68, 216,739.80 and 85,441.50

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Solution

The fourth proportional to 157,059.68, 216,739.80 and 85,441.50 is: 117,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,059.68 : 216,739.80 = 85,441.50 : x
  2. Step 2: Convert to fraction form
    157,059.68/216,739.80 = 85,441.50/x
  3. Step 3: Cross multiply
    157,059.68x = 216,739.80 × 85,441.50
  4. Step 4: Simplify right side
    157,059.68x = 18,518,573,621.70
  5. Step 5: Solve for x
    x = 18,518,573,621.70/157,059.68
  6. Step 6: Final answer
    x = 117,907.88

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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.