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Finding the Fourth Proportional to 138,477.60, 207,813.60 and 59,648.40

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Solution

The fourth proportional to 138,477.60, 207,813.60 and 59,648.40 is: 89,514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,477.60 : 207,813.60 = 59,648.40 : x
  2. Step 2: Convert to fraction form
    138,477.60/207,813.60 = 59,648.40/x
  3. Step 3: Cross multiply
    138,477.60x = 207,813.60 × 59,648.40
  4. Step 4: Simplify right side
    138,477.60x = 12,395,748,738.24
  5. Step 5: Solve for x
    x = 12,395,748,738.24/138,477.60
  6. Step 6: Final answer
    x = 89,514.47

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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.