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Finding the Fourth Proportional to 96,657.95, 145,092.98 and 76,795.11

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Solution

The fourth proportional to 96,657.95, 145,092.98 and 76,795.11 is: 115,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,657.95 : 145,092.98 = 76,795.11 : x
  2. Step 2: Convert to fraction form
    96,657.95/145,092.98 = 76,795.11/x
  3. Step 3: Cross multiply
    96,657.95x = 145,092.98 × 76,795.11
  4. Step 4: Simplify right side
    96,657.95x = 11,142,431,551.32
  5. Step 5: Solve for x
    x = 11,142,431,551.32/96,657.95
  6. Step 6: Final answer
    x = 115,276.93

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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.