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Finding the Fourth Proportional to 145,384.50, 217,987.43 and 56,534.43

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Solution

The fourth proportional to 145,384.50, 217,987.43 and 56,534.43 is: 84,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,384.50 : 217,987.43 = 56,534.43 : x
  2. Step 2: Convert to fraction form
    145,384.50/217,987.43 = 56,534.43/x
  3. Step 3: Cross multiply
    145,384.50x = 217,987.43 × 56,534.43
  4. Step 4: Simplify right side
    145,384.50x = 12,323,795,182.91
  5. Step 5: Solve for x
    x = 12,323,795,182.91/145,384.50
  6. Step 6: Final answer
    x = 84,766.92

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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.