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Finding the Fourth Proportional to 105,924.90, 146,179.14 and 59,980.88

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Solution

The fourth proportional to 105,924.90, 146,179.14 and 59,980.88 is: 82,775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,924.90 : 146,179.14 = 59,980.88 : x
  2. Step 2: Convert to fraction form
    105,924.90/146,179.14 = 59,980.88/x
  3. Step 3: Cross multiply
    105,924.90x = 146,179.14 × 59,980.88
  4. Step 4: Simplify right side
    105,924.90x = 8,767,953,454.84
  5. Step 5: Solve for x
    x = 8,767,953,454.84/105,924.90
  6. Step 6: Final answer
    x = 82,775.19

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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.