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Finding the Fourth Proportional to 164,357.68, 247,123.38 and 151,366.90

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Solution

The fourth proportional to 164,357.68, 247,123.38 and 151,366.90 is: 227,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,357.68 : 247,123.38 = 151,366.90 : x
  2. Step 2: Convert to fraction form
    164,357.68/247,123.38 = 151,366.90/x
  3. Step 3: Cross multiply
    164,357.68x = 247,123.38 × 151,366.90
  4. Step 4: Simplify right side
    164,357.68x = 37,406,299,948.12
  5. Step 5: Solve for x
    x = 37,406,299,948.12/164,357.68
  6. Step 6: Final answer
    x = 227,590.82

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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.