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Finding the Fourth Proportional to 144,932.10, 217,052.55 and 144,932.10

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Solution

The fourth proportional to 144,932.10, 217,052.55 and 144,932.10 is: 217,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,932.10 : 217,052.55 = 144,932.10 : x
  2. Step 2: Convert to fraction form
    144,932.10/217,052.55 = 144,932.10/x
  3. Step 3: Cross multiply
    144,932.10x = 217,052.55 × 144,932.10
  4. Step 4: Simplify right side
    144,932.10x = 31,457,881,881.86
  5. Step 5: Solve for x
    x = 31,457,881,881.86/144,932.10
  6. Step 6: Final answer
    x = 217,052.55

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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.