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Finding the Fourth Proportional to 113,543.86, 156,690.57 and 65,824.87

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Solution

The fourth proportional to 113,543.86, 156,690.57 and 65,824.87 is: 90,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,543.86 : 156,690.57 = 65,824.87 : x
  2. Step 2: Convert to fraction form
    113,543.86/156,690.57 = 65,824.87/x
  3. Step 3: Cross multiply
    113,543.86x = 156,690.57 × 65,824.87
  4. Step 4: Simplify right side
    113,543.86x = 10,314,136,400.48
  5. Step 5: Solve for x
    x = 10,314,136,400.48/113,543.86
  6. Step 6: Final answer
    x = 90,838.35

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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.