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Finding the Fourth Proportional to 145,524.52, 218,286.87 and 65,468.98

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Solution

The fourth proportional to 145,524.52, 218,286.87 and 65,468.98 is: 98,203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,524.52 : 218,286.87 = 65,468.98 : x
  2. Step 2: Convert to fraction form
    145,524.52/218,286.87 = 65,468.98/x
  3. Step 3: Cross multiply
    145,524.52x = 218,286.87 × 65,468.98
  4. Step 4: Simplify right side
    145,524.52x = 14,291,018,726.29
  5. Step 5: Solve for x
    x = 14,291,018,726.29/145,524.52
  6. Step 6: Final answer
    x = 98,203.51

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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.