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Finding the Fourth Proportional to 155,548.40, 233,063.40 and 146,217.20

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Solution

The fourth proportional to 155,548.40, 233,063.40 and 146,217.20 is: 219,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,548.40 : 233,063.40 = 146,217.20 : x
  2. Step 2: Convert to fraction form
    155,548.40/233,063.40 = 146,217.20/x
  3. Step 3: Cross multiply
    155,548.40x = 233,063.40 × 146,217.20
  4. Step 4: Simplify right side
    155,548.40x = 34,077,877,770.48
  5. Step 5: Solve for x
    x = 34,077,877,770.48/155,548.40
  6. Step 6: Final answer
    x = 219,082.15

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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.