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Finding the Fourth Proportional to 108,470.40, 162,388.80 and 77,366.40

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Solution

The fourth proportional to 108,470.40, 162,388.80 and 77,366.40 is: 115,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,470.40 : 162,388.80 = 77,366.40 : x
  2. Step 2: Convert to fraction form
    108,470.40/162,388.80 = 77,366.40/x
  3. Step 3: Cross multiply
    108,470.40x = 162,388.80 × 77,366.40
  4. Step 4: Simplify right side
    108,470.40x = 12,563,436,856.32
  5. Step 5: Solve for x
    x = 12,563,436,856.32/108,470.40
  6. Step 6: Final answer
    x = 115,823.64

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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.