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Finding the Fourth Proportional to 156,782.50, 216,359.85 and 86,126.50

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Solution

The fourth proportional to 156,782.50, 216,359.85 and 86,126.50 is: 118,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,782.50 : 216,359.85 = 86,126.50 : x
  2. Step 2: Convert to fraction form
    156,782.50/216,359.85 = 86,126.50/x
  3. Step 3: Cross multiply
    156,782.50x = 216,359.85 × 86,126.50
  4. Step 4: Simplify right side
    156,782.50x = 18,634,316,621.03
  5. Step 5: Solve for x
    x = 18,634,316,621.03/156,782.50
  6. Step 6: Final answer
    x = 118,854.57

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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.