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Finding the Fourth Proportional to 106,411.84, 146,854.95 and 58,665.10

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Solution

The fourth proportional to 106,411.84, 146,854.95 and 58,665.10 is: 80,961.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,411.84 : 146,854.95 = 58,665.10 : x
  2. Step 2: Convert to fraction form
    106,411.84/146,854.95 = 58,665.10/x
  3. Step 3: Cross multiply
    106,411.84x = 146,854.95 × 58,665.10
  4. Step 4: Simplify right side
    106,411.84x = 8,615,260,327.25
  5. Step 5: Solve for x
    x = 8,615,260,327.25/106,411.84
  6. Step 6: Final answer
    x = 80,961.48

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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.