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Finding the Fourth Proportional to 224,407.48, 309,709.55 and 163,947.86

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Solution

The fourth proportional to 224,407.48, 309,709.55 and 163,947.86 is: 226,267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,407.48 : 309,709.55 = 163,947.86 : x
  2. Step 2: Convert to fraction form
    224,407.48/309,709.55 = 163,947.86/x
  3. Step 3: Cross multiply
    224,407.48x = 309,709.55 × 163,947.86
  4. Step 4: Simplify right side
    224,407.48x = 50,776,219,247.81
  5. Step 5: Solve for x
    x = 50,776,219,247.81/224,407.48
  6. Step 6: Final answer
    x = 226,267.95

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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.