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Finding the Fourth Proportional to 117,167.16, 175,780.70 and 34,061.16

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Solution

The fourth proportional to 117,167.16, 175,780.70 and 34,061.16 is: 51,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,167.16 : 175,780.70 = 34,061.16 : x
  2. Step 2: Convert to fraction form
    117,167.16/175,780.70 = 34,061.16/x
  3. Step 3: Cross multiply
    117,167.16x = 175,780.70 × 34,061.16
  4. Step 4: Simplify right side
    117,167.16x = 5,987,294,037.45
  5. Step 5: Solve for x
    x = 5,987,294,037.45/117,167.16
  6. Step 6: Final answer
    x = 51,100.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.