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Finding the Fourth Proportional to 102,080.60, 153,151.99 and 52,195.74

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Solution

The fourth proportional to 102,080.60, 153,151.99 and 52,195.74 is: 78,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,080.60 : 153,151.99 = 52,195.74 : x
  2. Step 2: Convert to fraction form
    102,080.60/153,151.99 = 52,195.74/x
  3. Step 3: Cross multiply
    102,080.60x = 153,151.99 × 52,195.74
  4. Step 4: Simplify right side
    102,080.60x = 7,993,881,320.03
  5. Step 5: Solve for x
    x = 7,993,881,320.03/102,080.60
  6. Step 6: Final answer
    x = 78,309.50

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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.