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Finding the Fourth Proportional to 91,746.20, 137,700.30 and 54,259.40

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Solution

The fourth proportional to 91,746.20, 137,700.30 and 54,259.40 is: 81,437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,746.20 : 137,700.30 = 54,259.40 : x
  2. Step 2: Convert to fraction form
    91,746.20/137,700.30 = 54,259.40/x
  3. Step 3: Cross multiply
    91,746.20x = 137,700.30 × 54,259.40
  4. Step 4: Simplify right side
    91,746.20x = 7,471,535,657.82
  5. Step 5: Solve for x
    x = 7,471,535,657.82/91,746.20
  6. Step 6: Final answer
    x = 81,437.00

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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.