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Finding the Fourth Proportional to 218,859.48, 328,193.87 and 116,254.35

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Solution

The fourth proportional to 218,859.48, 328,193.87 and 116,254.35 is: 174,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,859.48 : 328,193.87 = 116,254.35 : x
  2. Step 2: Convert to fraction form
    218,859.48/328,193.87 = 116,254.35/x
  3. Step 3: Cross multiply
    218,859.48x = 328,193.87 × 116,254.35
  4. Step 4: Simplify right side
    218,859.48x = 38,153,965,030.83
  5. Step 5: Solve for x
    x = 38,153,965,030.83/218,859.48
  6. Step 6: Final answer
    x = 174,330.88

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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.