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Finding the Fourth Proportional to 97,192, 145,458.81 and 59,775.79

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Solution

The fourth proportional to 97,192, 145,458.81 and 59,775.79 is: 89,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,192 : 145,458.81 = 59,775.79 : x
  2. Step 2: Convert to fraction form
    97,192/145,458.81 = 59,775.79/x
  3. Step 3: Cross multiply
    97,192x = 145,458.81 × 59,775.79
  4. Step 4: Simplify right side
    97,192x = 8,694,915,280.21
  5. Step 5: Solve for x
    x = 8,694,915,280.21/97,192
  6. Step 6: Final answer
    x = 89,461.22

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Why These Related Problems?

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