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Finding the Fourth Proportional to 96,474.50, 144,462.50 and 66,580.98

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Solution

The fourth proportional to 96,474.50, 144,462.50 and 66,580.98 is: 99,699.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,474.50 : 144,462.50 = 66,580.98 : x
  2. Step 2: Convert to fraction form
    96,474.50/144,462.50 = 66,580.98/x
  3. Step 3: Cross multiply
    96,474.50x = 144,462.50 × 66,580.98
  4. Step 4: Simplify right side
    96,474.50x = 9,618,454,823.25
  5. Step 5: Solve for x
    x = 9,618,454,823.25/96,474.50
  6. Step 6: Final answer
    x = 99,699.45

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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.