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Finding the Fourth Proportional to 114,302.13, 157,590.74 and 78,429.87

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Solution

The fourth proportional to 114,302.13, 157,590.74 and 78,429.87 is: 108,132.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,302.13 : 157,590.74 = 78,429.87 : x
  2. Step 2: Convert to fraction form
    114,302.13/157,590.74 = 78,429.87/x
  3. Step 3: Cross multiply
    114,302.13x = 157,590.74 × 78,429.87
  4. Step 4: Simplify right side
    114,302.13x = 12,359,820,859.25
  5. Step 5: Solve for x
    x = 12,359,820,859.25/114,302.13
  6. Step 6: Final answer
    x = 108,132.90

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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.