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Finding the Fourth Proportional to 137,275.11, 189,429.21 and 76,831.92

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Solution

The fourth proportional to 137,275.11, 189,429.21 and 76,831.92 is: 106,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,275.11 : 189,429.21 = 76,831.92 : x
  2. Step 2: Convert to fraction form
    137,275.11/189,429.21 = 76,831.92/x
  3. Step 3: Cross multiply
    137,275.11x = 189,429.21 × 76,831.92
  4. Step 4: Simplify right side
    137,275.11x = 14,554,209,908.38
  5. Step 5: Solve for x
    x = 14,554,209,908.38/137,275.11
  6. Step 6: Final answer
    x = 106,022.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.