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Finding the Fourth Proportional to 137,578.82, 189,778.32 and 86,510.70

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Solution

The fourth proportional to 137,578.82, 189,778.32 and 86,510.70 is: 119,334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,578.82 : 189,778.32 = 86,510.70 : x
  2. Step 2: Convert to fraction form
    137,578.82/189,778.32 = 86,510.70/x
  3. Step 3: Cross multiply
    137,578.82x = 189,778.32 × 86,510.70
  4. Step 4: Simplify right side
    137,578.82x = 16,417,855,308.02
  5. Step 5: Solve for x
    x = 16,417,855,308.02/137,578.82
  6. Step 6: Final answer
    x = 119,334.18

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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.