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Finding the Fourth Proportional to 182,877.60, 274,316.40 and 181,711.20

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Solution

The fourth proportional to 182,877.60, 274,316.40 and 181,711.20 is: 272,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,877.60 : 274,316.40 = 181,711.20 : x
  2. Step 2: Convert to fraction form
    182,877.60/274,316.40 = 181,711.20/x
  3. Step 3: Cross multiply
    182,877.60x = 274,316.40 × 181,711.20
  4. Step 4: Simplify right side
    182,877.60x = 49,846,362,223.68
  5. Step 5: Solve for x
    x = 49,846,362,223.68/182,877.60
  6. Step 6: Final answer
    x = 272,566.80

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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.