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Finding the Fourth Proportional to 218,282.85, 326,898.99 and 147,948.93

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Solution

The fourth proportional to 218,282.85, 326,898.99 and 147,948.93 is: 221,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,282.85 : 326,898.99 = 147,948.93 : x
  2. Step 2: Convert to fraction form
    218,282.85/326,898.99 = 147,948.93/x
  3. Step 3: Cross multiply
    218,282.85x = 326,898.99 × 147,948.93
  4. Step 4: Simplify right side
    218,282.85x = 48,364,355,788.58
  5. Step 5: Solve for x
    x = 48,364,355,788.58/218,282.85
  6. Step 6: Final answer
    x = 221,567.36

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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.