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Finding the Fourth Proportional to 229,158.96, 316,234.60 and 127,178.49

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Solution

The fourth proportional to 229,158.96, 316,234.60 and 127,178.49 is: 175,503.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,158.96 : 316,234.60 = 127,178.49 : x
  2. Step 2: Convert to fraction form
    229,158.96/316,234.60 = 127,178.49/x
  3. Step 3: Cross multiply
    229,158.96x = 316,234.60 × 127,178.49
  4. Step 4: Simplify right side
    229,158.96x = 40,218,238,913.75
  5. Step 5: Solve for x
    x = 40,218,238,913.75/229,158.96
  6. Step 6: Final answer
    x = 175,503.67

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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.