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Finding the Fourth Proportional to 182,807.60, 274,211.40 and 181,641.20

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Solution

The fourth proportional to 182,807.60, 274,211.40 and 181,641.20 is: 272,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,807.60 : 274,211.40 = 181,641.20 : x
  2. Step 2: Convert to fraction form
    182,807.60/274,211.40 = 181,641.20/x
  3. Step 3: Cross multiply
    182,807.60x = 274,211.40 × 181,641.20
  4. Step 4: Simplify right side
    182,807.60x = 49,808,087,749.68
  5. Step 5: Solve for x
    x = 49,808,087,749.68/182,807.60
  6. Step 6: Final answer
    x = 272,461.80

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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.