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Finding the Fourth Proportional to 272,034.15, 408,051.23 and 146,062.95

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Solution

The fourth proportional to 272,034.15, 408,051.23 and 146,062.95 is: 219,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,034.15 : 408,051.23 = 146,062.95 : x
  2. Step 2: Convert to fraction form
    272,034.15/408,051.23 = 146,062.95/x
  3. Step 3: Cross multiply
    272,034.15x = 408,051.23 × 146,062.95
  4. Step 4: Simplify right side
    272,034.15x = 59,601,165,674.61
  5. Step 5: Solve for x
    x = 59,601,165,674.61/272,034.15
  6. Step 6: Final answer
    x = 219,094.43

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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.