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Finding the Fourth Proportional to 137,098.32, 205,603.44 and 43,582.20

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Solution

The fourth proportional to 137,098.32, 205,603.44 and 43,582.20 is: 65,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,098.32 : 205,603.44 = 43,582.20 : x
  2. Step 2: Convert to fraction form
    137,098.32/205,603.44 = 43,582.20/x
  3. Step 3: Cross multiply
    137,098.32x = 205,603.44 × 43,582.20
  4. Step 4: Simplify right side
    137,098.32x = 8,960,650,242.77
  5. Step 5: Solve for x
    x = 8,960,650,242.77/137,098.32
  6. Step 6: Final answer
    x = 65,359.30

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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.