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Finding the Fourth Proportional to 219,314.20, 328,193.70 and 149,330.20

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Solution

The fourth proportional to 219,314.20, 328,193.70 and 149,330.20 is: 223,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,314.20 : 328,193.70 = 149,330.20 : x
  2. Step 2: Convert to fraction form
    219,314.20/328,193.70 = 149,330.20/x
  3. Step 3: Cross multiply
    219,314.20x = 328,193.70 × 149,330.20
  4. Step 4: Simplify right side
    219,314.20x = 49,009,230,859.74
  5. Step 5: Solve for x
    x = 49,009,230,859.74/219,314.20
  6. Step 6: Final answer
    x = 223,465.84

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1.5x scale

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.