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Finding the Fourth Proportional to 230,281.38, 344,922.12 and 111,703.50

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Solution

The fourth proportional to 230,281.38, 344,922.12 and 111,703.50 is: 167,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,281.38 : 344,922.12 = 111,703.50 : x
  2. Step 2: Convert to fraction form
    230,281.38/344,922.12 = 111,703.50/x
  3. Step 3: Cross multiply
    230,281.38x = 344,922.12 × 111,703.50
  4. Step 4: Simplify right side
    230,281.38x = 38,529,008,031.42
  5. Step 5: Solve for x
    x = 38,529,008,031.42/230,281.38
  6. Step 6: Final answer
    x = 167,312.74

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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.