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Finding the Fourth Proportional to 191,142, 286,747.61 and 78,759.72

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Solution

The fourth proportional to 191,142, 286,747.61 and 78,759.72 is: 118,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,142 : 286,747.61 = 78,759.72 : x
  2. Step 2: Convert to fraction form
    191,142/286,747.61 = 78,759.72/x
  3. Step 3: Cross multiply
    191,142x = 286,747.61 × 78,759.72
  4. Step 4: Simplify right side
    191,142x = 22,584,161,080.47
  5. Step 5: Solve for x
    x = 22,584,161,080.47/191,142
  6. Step 6: Final answer
    x = 118,153.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.