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Finding the Fourth Proportional to 224,407.17, 309,709.12 and 163,947.55

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Solution

The fourth proportional to 224,407.17, 309,709.12 and 163,947.55 is: 226,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,407.17 : 309,709.12 = 163,947.55 : x
  2. Step 2: Convert to fraction form
    224,407.17/309,709.12 = 163,947.55/x
  3. Step 3: Cross multiply
    224,407.17x = 309,709.12 × 163,947.55
  4. Step 4: Simplify right side
    224,407.17x = 50,776,051,436.66
  5. Step 5: Solve for x
    x = 50,776,051,436.66/224,407.17
  6. Step 6: Final answer
    x = 226,267.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.