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Finding the Fourth Proportional to 162,715.98, 224,521.32 and 102,243.80

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Solution

The fourth proportional to 162,715.98, 224,521.32 and 102,243.80 is: 141,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,715.98 : 224,521.32 = 102,243.80 : x
  2. Step 2: Convert to fraction form
    162,715.98/224,521.32 = 102,243.80/x
  3. Step 3: Cross multiply
    162,715.98x = 224,521.32 × 102,243.80
  4. Step 4: Simplify right side
    162,715.98x = 22,955,912,937.82
  5. Step 5: Solve for x
    x = 22,955,912,937.82/162,715.98
  6. Step 6: Final answer
    x = 141,079.65

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