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Finding the Fourth Proportional to 230,476.74, 345,253.95 and 183,171.66

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Solution

The fourth proportional to 230,476.74, 345,253.95 and 183,171.66 is: 274,390.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,476.74 : 345,253.95 = 183,171.66 : x
  2. Step 2: Convert to fraction form
    230,476.74/345,253.95 = 183,171.66/x
  3. Step 3: Cross multiply
    230,476.74x = 345,253.95 × 183,171.66
  4. Step 4: Simplify right side
    230,476.74x = 63,240,739,143.06
  5. Step 5: Solve for x
    x = 63,240,739,143.06/230,476.74
  6. Step 6: Final answer
    x = 274,390.98

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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.