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Finding the Fourth Proportional to 119,159.46, 164,442.78 and 65,448

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Solution

The fourth proportional to 119,159.46, 164,442.78 and 65,448 is: 90,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,159.46 : 164,442.78 = 65,448 : x
  2. Step 2: Convert to fraction form
    119,159.46/164,442.78 = 65,448/x
  3. Step 3: Cross multiply
    119,159.46x = 164,442.78 × 65,448
  4. Step 4: Simplify right side
    119,159.46x = 10,762,451,065.44
  5. Step 5: Solve for x
    x = 10,762,451,065.44/119,159.46
  6. Step 6: Final answer
    x = 90,319.74

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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.