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Finding the Fourth Proportional to 137,585.09, 206,398.14 and 48,831.16

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Solution

The fourth proportional to 137,585.09, 206,398.14 and 48,831.16 is: 73,254.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,585.09 : 206,398.14 = 48,831.16 : x
  2. Step 2: Convert to fraction form
    137,585.09/206,398.14 = 48,831.16/x
  3. Step 3: Cross multiply
    137,585.09x = 206,398.14 × 48,831.16
  4. Step 4: Simplify right side
    137,585.09x = 10,078,659,321.90
  5. Step 5: Solve for x
    x = 10,078,659,321.90/137,585.09
  6. Step 6: Final answer
    x = 73,254.01

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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.