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Finding the Fourth Proportional to 145,853.70, 218,780.55 and 52,347.30

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Solution

The fourth proportional to 145,853.70, 218,780.55 and 52,347.30 is: 78,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,853.70 : 218,780.55 = 52,347.30 : x
  2. Step 2: Convert to fraction form
    145,853.70/218,780.55 = 52,347.30/x
  3. Step 3: Cross multiply
    145,853.70x = 218,780.55 × 52,347.30
  4. Step 4: Simplify right side
    145,853.70x = 11,452,571,085.02
  5. Step 5: Solve for x
    x = 11,452,571,085.02/145,853.70
  6. Step 6: Final answer
    x = 78,520.95

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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.