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Finding the Fourth Proportional to 130,097.76, 195,159.62 and 35,329.48

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Solution

The fourth proportional to 130,097.76, 195,159.62 and 35,329.48 is: 52,997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,097.76 : 195,159.62 = 35,329.48 : x
  2. Step 2: Convert to fraction form
    130,097.76/195,159.62 = 35,329.48/x
  3. Step 3: Cross multiply
    130,097.76x = 195,159.62 × 35,329.48
  4. Step 4: Simplify right side
    130,097.76x = 6,894,887,891.60
  5. Step 5: Solve for x
    x = 6,894,887,891.60/130,097.76
  6. Step 6: Final answer
    x = 52,997.74

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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.