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Finding the Fourth Proportional to 114,123, 157,490.28 and 63,822

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Solution

The fourth proportional to 114,123, 157,490.28 and 63,822 is: 88,074.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,123 : 157,490.28 = 63,822 : x
  2. Step 2: Convert to fraction form
    114,123/157,490.28 = 63,822/x
  3. Step 3: Cross multiply
    114,123x = 157,490.28 × 63,822
  4. Step 4: Simplify right side
    114,123x = 10,051,344,650.16
  5. Step 5: Solve for x
    x = 10,051,344,650.16/114,123
  6. Step 6: Final answer
    x = 88,074.66

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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.