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Finding the Fourth Proportional to 153,315.68, 229,974.54 and 53,475.50

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Solution

The fourth proportional to 153,315.68, 229,974.54 and 53,475.50 is: 80,213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,315.68 : 229,974.54 = 53,475.50 : x
  2. Step 2: Convert to fraction form
    153,315.68/229,974.54 = 53,475.50/x
  3. Step 3: Cross multiply
    153,315.68x = 229,974.54 × 53,475.50
  4. Step 4: Simplify right side
    153,315.68x = 12,298,003,513.77
  5. Step 5: Solve for x
    x = 12,298,003,513.77/153,315.68
  6. Step 6: Final answer
    x = 80,213.61

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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.