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Finding the Fourth Proportional to 137,259.16, 189,401.64 and 76,833.16

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Solution

The fourth proportional to 137,259.16, 189,401.64 and 76,833.16 is: 106,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,259.16 : 189,401.64 = 76,833.16 : x
  2. Step 2: Convert to fraction form
    137,259.16/189,401.64 = 76,833.16/x
  3. Step 3: Cross multiply
    137,259.16x = 189,401.64 × 76,833.16
  4. Step 4: Simplify right side
    137,259.16x = 14,552,326,510.38
  5. Step 5: Solve for x
    x = 14,552,326,510.38/137,259.16
  6. Step 6: Final answer
    x = 106,020.80

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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.