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Finding the Fourth Proportional to 130,648.32, 195,978.24 and 37,159.68

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Solution

The fourth proportional to 130,648.32, 195,978.24 and 37,159.68 is: 55,741.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,648.32 : 195,978.24 = 37,159.68 : x
  2. Step 2: Convert to fraction form
    130,648.32/195,978.24 = 37,159.68/x
  3. Step 3: Cross multiply
    130,648.32x = 195,978.24 × 37,159.68
  4. Step 4: Simplify right side
    130,648.32x = 7,282,488,685.36
  5. Step 5: Solve for x
    x = 7,282,488,685.36/130,648.32
  6. Step 6: Final answer
    x = 55,741.16

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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.