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Finding the Fourth Proportional to 138,409.20, 207,613.80 and 103,417.20

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Solution

The fourth proportional to 138,409.20, 207,613.80 and 103,417.20 is: 155,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,409.20 : 207,613.80 = 103,417.20 : x
  2. Step 2: Convert to fraction form
    138,409.20/207,613.80 = 103,417.20/x
  3. Step 3: Cross multiply
    138,409.20x = 207,613.80 × 103,417.20
  4. Step 4: Simplify right side
    138,409.20x = 21,470,837,877.36
  5. Step 5: Solve for x
    x = 21,470,837,877.36/138,409.20
  6. Step 6: Final answer
    x = 155,125.80

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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.