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Finding the Fourth Proportional to 110,206.53, 152,097.74 and 61,821.78

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Solution

The fourth proportional to 110,206.53, 152,097.74 and 61,821.78 is: 85,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,206.53 : 152,097.74 = 61,821.78 : x
  2. Step 2: Convert to fraction form
    110,206.53/152,097.74 = 61,821.78/x
  3. Step 3: Cross multiply
    110,206.53x = 152,097.74 × 61,821.78
  4. Step 4: Simplify right side
    110,206.53x = 9,402,952,711.67
  5. Step 5: Solve for x
    x = 9,402,952,711.67/110,206.53
  6. Step 6: Final answer
    x = 85,321.19

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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.