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Finding the Fourth Proportional to 137,436.16, 205,739.22 and 124,294.72

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Solution

The fourth proportional to 137,436.16, 205,739.22 and 124,294.72 is: 186,066.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,436.16 : 205,739.22 = 124,294.72 : x
  2. Step 2: Convert to fraction form
    137,436.16/205,739.22 = 124,294.72/x
  3. Step 3: Cross multiply
    137,436.16x = 205,739.22 × 124,294.72
  4. Step 4: Simplify right side
    137,436.16x = 25,572,298,742.92
  5. Step 5: Solve for x
    x = 25,572,298,742.92/137,436.16
  6. Step 6: Final answer
    x = 186,066.74

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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.