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Finding the Fourth Proportional to 218,721.96, 328,225.50 and 165,300.84

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Solution

The fourth proportional to 218,721.96, 328,225.50 and 165,300.84 is: 248,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,721.96 : 328,225.50 = 165,300.84 : x
  2. Step 2: Convert to fraction form
    218,721.96/328,225.50 = 165,300.84/x
  3. Step 3: Cross multiply
    218,721.96x = 328,225.50 × 165,300.84
  4. Step 4: Simplify right side
    218,721.96x = 54,255,950,859.42
  5. Step 5: Solve for x
    x = 54,255,950,859.42/218,721.96
  6. Step 6: Final answer
    x = 248,059.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.