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Finding the Fourth Proportional to 153,648.21, 230,472.33 and 48,475.38

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Solution

The fourth proportional to 153,648.21, 230,472.33 and 48,475.38 is: 72,713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,648.21 : 230,472.33 = 48,475.38 : x
  2. Step 2: Convert to fraction form
    153,648.21/230,472.33 = 48,475.38/x
  3. Step 3: Cross multiply
    153,648.21x = 230,472.33 × 48,475.38
  4. Step 4: Simplify right side
    153,648.21x = 11,172,232,381.50
  5. Step 5: Solve for x
    x = 11,172,232,381.50/153,648.21
  6. Step 6: Final answer
    x = 72,713.07

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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.