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Finding the Fourth Proportional to 141,158.60, 194,792.96 and 77,497.86

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Solution

The fourth proportional to 141,158.60, 194,792.96 and 77,497.86 is: 106,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,158.60 : 194,792.96 = 77,497.86 : x
  2. Step 2: Convert to fraction form
    141,158.60/194,792.96 = 77,497.86/x
  3. Step 3: Cross multiply
    141,158.60x = 194,792.96 × 77,497.86
  4. Step 4: Simplify right side
    141,158.60x = 15,096,037,543.07
  5. Step 5: Solve for x
    x = 15,096,037,543.07/141,158.60
  6. Step 6: Final answer
    x = 106,943.80

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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.