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Finding the Fourth Proportional to 114,585.29, 158,156.76 and 78,301.43

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Solution

The fourth proportional to 114,585.29, 158,156.76 and 78,301.43 is: 108,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,585.29 : 158,156.76 = 78,301.43 : x
  2. Step 2: Convert to fraction form
    114,585.29/158,156.76 = 78,301.43/x
  3. Step 3: Cross multiply
    114,585.29x = 158,156.76 × 78,301.43
  4. Step 4: Simplify right side
    114,585.29x = 12,383,899,681.38
  5. Step 5: Solve for x
    x = 12,383,899,681.38/114,585.29
  6. Step 6: Final answer
    x = 108,075.83

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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.