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Finding the Fourth Proportional to 107,246, 147,999.48 and 59,507.12

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Solution

The fourth proportional to 107,246, 147,999.48 and 59,507.12 is: 82,119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,246 : 147,999.48 = 59,507.12 : x
  2. Step 2: Convert to fraction form
    107,246/147,999.48 = 59,507.12/x
  3. Step 3: Cross multiply
    107,246x = 147,999.48 × 59,507.12
  4. Step 4: Simplify right side
    107,246x = 8,807,022,816.30
  5. Step 5: Solve for x
    x = 8,807,022,816.30/107,246
  6. Step 6: Final answer
    x = 82,119.83

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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.