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Finding the Fourth Proportional to 144,586.20, 202,835.40 and 144,586.20

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Solution

The fourth proportional to 144,586.20, 202,835.40 and 144,586.20 is: 202,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,586.20 : 202,835.40 = 144,586.20 : x
  2. Step 2: Convert to fraction form
    144,586.20/202,835.40 = 144,586.20/x
  3. Step 3: Cross multiply
    144,586.20x = 202,835.40 × 144,586.20
  4. Step 4: Simplify right side
    144,586.20x = 29,327,199,711.48
  5. Step 5: Solve for x
    x = 29,327,199,711.48/144,586.20
  6. Step 6: Final answer
    x = 202,835.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.