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Finding the Fourth Proportional to 119,182.92, 164,473.12 and 65,466.16

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Solution

The fourth proportional to 119,182.92, 164,473.12 and 65,466.16 is: 90,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,182.92 : 164,473.12 = 65,466.16 : x
  2. Step 2: Convert to fraction form
    119,182.92/164,473.12 = 65,466.16/x
  3. Step 3: Cross multiply
    119,182.92x = 164,473.12 × 65,466.16
  4. Step 4: Simplify right side
    119,182.92x = 10,767,423,589.62
  5. Step 5: Solve for x
    x = 10,767,423,589.62/119,182.92
  6. Step 6: Final answer
    x = 90,343.68

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1.5x scale

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.