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Finding the Fourth Proportional to 219,173.52, 328,744.08 and 106,505.76

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Solution

The fourth proportional to 219,173.52, 328,744.08 and 106,505.76 is: 159,750.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,173.52 : 328,744.08 = 106,505.76 : x
  2. Step 2: Convert to fraction form
    219,173.52/328,744.08 = 106,505.76/x
  3. Step 3: Cross multiply
    219,173.52x = 328,744.08 × 106,505.76
  4. Step 4: Simplify right side
    219,173.52x = 35,013,138,085.90
  5. Step 5: Solve for x
    x = 35,013,138,085.90/219,173.52
  6. Step 6: Final answer
    x = 159,750.77

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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.