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Finding the Fourth Proportional to 91,406.40, 136,842.30 and 65,162.40

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Solution

The fourth proportional to 91,406.40, 136,842.30 and 65,162.40 is: 97,553.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,406.40 : 136,842.30 = 65,162.40 : x
  2. Step 2: Convert to fraction form
    91,406.40/136,842.30 = 65,162.40/x
  3. Step 3: Cross multiply
    91,406.40x = 136,842.30 × 65,162.40
  4. Step 4: Simplify right side
    91,406.40x = 8,916,972,689.52
  5. Step 5: Solve for x
    x = 8,916,972,689.52/91,406.40
  6. Step 6: Final answer
    x = 97,553.05

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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.