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Finding the Fourth Proportional to 150,444.60, 225,602.10 and 75,535.80

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Solution

The fourth proportional to 150,444.60, 225,602.10 and 75,535.80 is: 113,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,444.60 : 225,602.10 = 75,535.80 : x
  2. Step 2: Convert to fraction form
    150,444.60/225,602.10 = 75,535.80/x
  3. Step 3: Cross multiply
    150,444.60x = 225,602.10 × 75,535.80
  4. Step 4: Simplify right side
    150,444.60x = 17,041,035,105.18
  5. Step 5: Solve for x
    x = 17,041,035,105.18/150,444.60
  6. Step 6: Final answer
    x = 113,271.16

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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.