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Finding the Fourth Proportional to 145,952.16, 218,874.48 and 52,432.80

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Solution

The fourth proportional to 145,952.16, 218,874.48 and 52,432.80 is: 78,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,952.16 : 218,874.48 = 52,432.80 : x
  2. Step 2: Convert to fraction form
    145,952.16/218,874.48 = 52,432.80/x
  3. Step 3: Cross multiply
    145,952.16x = 218,874.48 × 52,432.80
  4. Step 4: Simplify right side
    145,952.16x = 11,476,201,834.94
  5. Step 5: Solve for x
    x = 11,476,201,834.94/145,952.16
  6. Step 6: Final answer
    x = 78,629.89

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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.