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Finding the Fourth Proportional to 130,643.76, 195,962.40 and 41,903.52

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Solution

The fourth proportional to 130,643.76, 195,962.40 and 41,903.52 is: 62,854.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,643.76 : 195,962.40 = 41,903.52 : x
  2. Step 2: Convert to fraction form
    130,643.76/195,962.40 = 41,903.52/x
  3. Step 3: Cross multiply
    130,643.76x = 195,962.40 × 41,903.52
  4. Step 4: Simplify right side
    130,643.76x = 8,211,514,347.65
  5. Step 5: Solve for x
    x = 8,211,514,347.65/130,643.76
  6. Step 6: Final answer
    x = 62,854.24

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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.