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Finding the Fourth Proportional to 107,041.68, 147,768.84 and 75,237.84

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Solution

The fourth proportional to 107,041.68, 147,768.84 and 75,237.84 is: 103,864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,041.68 : 147,768.84 = 75,237.84 : x
  2. Step 2: Convert to fraction form
    107,041.68/147,768.84 = 75,237.84/x
  3. Step 3: Cross multiply
    107,041.68x = 147,768.84 × 75,237.84
  4. Step 4: Simplify right side
    107,041.68x = 11,117,808,340.91
  5. Step 5: Solve for x
    x = 11,117,808,340.91/107,041.68
  6. Step 6: Final answer
    x = 103,864.29

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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.