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Finding the Fourth Proportional to 162,651.38, 224,597.43 and 102,322.98

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Solution

The fourth proportional to 162,651.38, 224,597.43 and 102,322.98 is: 141,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,651.38 : 224,597.43 = 102,322.98 : x
  2. Step 2: Convert to fraction form
    162,651.38/224,597.43 = 102,322.98/x
  3. Step 3: Cross multiply
    162,651.38x = 224,597.43 × 102,322.98
  4. Step 4: Simplify right side
    162,651.38x = 22,981,478,337.94
  5. Step 5: Solve for x
    x = 22,981,478,337.94/162,651.38
  6. Step 6: Final answer
    x = 141,292.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.