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Finding the Fourth Proportional to 152,665, 210,677.70 and 85,597

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Solution

The fourth proportional to 152,665, 210,677.70 and 85,597 is: 118,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,665 : 210,677.70 = 85,597 : x
  2. Step 2: Convert to fraction form
    152,665/210,677.70 = 85,597/x
  3. Step 3: Cross multiply
    152,665x = 210,677.70 × 85,597
  4. Step 4: Simplify right side
    152,665x = 18,033,379,086.90
  5. Step 5: Solve for x
    x = 18,033,379,086.90/152,665
  6. Step 6: Final answer
    x = 118,123.86

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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.