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Finding the Fourth Proportional to 107,875.80, 161,756.10 and 45,475.80

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Solution

The fourth proportional to 107,875.80, 161,756.10 and 45,475.80 is: 68,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,875.80 : 161,756.10 = 45,475.80 : x
  2. Step 2: Convert to fraction form
    107,875.80/161,756.10 = 45,475.80/x
  3. Step 3: Cross multiply
    107,875.80x = 161,756.10 × 45,475.80
  4. Step 4: Simplify right side
    107,875.80x = 7,355,988,052.38
  5. Step 5: Solve for x
    x = 7,355,988,052.38/107,875.80
  6. Step 6: Final answer
    x = 68,189.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.