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Finding the Fourth Proportional to 107,201.48, 147,934.28 and 59,459.24

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Solution

The fourth proportional to 107,201.48, 147,934.28 and 59,459.24 is: 82,051.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,201.48 : 147,934.28 = 59,459.24 : x
  2. Step 2: Convert to fraction form
    107,201.48/147,934.28 = 59,459.24/x
  3. Step 3: Cross multiply
    107,201.48x = 147,934.28 × 59,459.24
  4. Step 4: Simplify right side
    107,201.48x = 8,796,059,858.75
  5. Step 5: Solve for x
    x = 8,796,059,858.75/107,201.48
  6. Step 6: Final answer
    x = 82,051.66

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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.