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Finding the Fourth Proportional to 185,424, 278,123.04 and 96,727.56

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Solution

The fourth proportional to 185,424, 278,123.04 and 96,727.56 is: 145,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,424 : 278,123.04 = 96,727.56 : x
  2. Step 2: Convert to fraction form
    185,424/278,123.04 = 96,727.56/x
  3. Step 3: Cross multiply
    185,424x = 278,123.04 × 96,727.56
  4. Step 4: Simplify right side
    185,424x = 26,902,163,038.98
  5. Step 5: Solve for x
    x = 26,902,163,038.98/185,424
  6. Step 6: Final answer
    x = 145,084.58

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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.