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Finding the Fourth Proportional to 229,149.15, 316,263.84 and 133,655.85

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Solution

The fourth proportional to 229,149.15, 316,263.84 and 133,655.85 is: 184,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,149.15 : 316,263.84 = 133,655.85 : x
  2. Step 2: Convert to fraction form
    229,149.15/316,263.84 = 133,655.85/x
  3. Step 3: Cross multiply
    229,149.15x = 316,263.84 × 133,655.85
  4. Step 4: Simplify right side
    229,149.15x = 42,270,512,359.46
  5. Step 5: Solve for x
    x = 42,270,512,359.46/229,149.15
  6. Step 6: Final answer
    x = 184,467.24

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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.