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Finding the Fourth Proportional to 218,749.60, 328,124.40 and 181,424.80

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Solution

The fourth proportional to 218,749.60, 328,124.40 and 181,424.80 is: 272,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,749.60 : 328,124.40 = 181,424.80 : x
  2. Step 2: Convert to fraction form
    218,749.60/328,124.40 = 181,424.80/x
  3. Step 3: Cross multiply
    218,749.60x = 328,124.40 × 181,424.80
  4. Step 4: Simplify right side
    218,749.60x = 59,529,903,645.12
  5. Step 5: Solve for x
    x = 59,529,903,645.12/218,749.60
  6. Step 6: Final answer
    x = 272,137.20

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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.