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Finding the Fourth Proportional to 96,774.80, 145,277.40 and 54,688.40

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Solution

The fourth proportional to 96,774.80, 145,277.40 and 54,688.40 is: 82,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,774.80 : 145,277.40 = 54,688.40 : x
  2. Step 2: Convert to fraction form
    96,774.80/145,277.40 = 54,688.40/x
  3. Step 3: Cross multiply
    96,774.80x = 145,277.40 × 54,688.40
  4. Step 4: Simplify right side
    96,774.80x = 7,944,988,562.16
  5. Step 5: Solve for x
    x = 7,944,988,562.16/96,774.80
  6. Step 6: Final answer
    x = 82,097.70

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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.