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Finding the Fourth Proportional to 288,239.68, 432,353.49 and 96,127.93

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Solution

The fourth proportional to 288,239.68, 432,353.49 and 96,127.93 is: 144,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,239.68 : 432,353.49 = 96,127.93 : x
  2. Step 2: Convert to fraction form
    288,239.68/432,353.49 = 96,127.93/x
  3. Step 3: Cross multiply
    288,239.68x = 432,353.49 × 96,127.93
  4. Step 4: Simplify right side
    288,239.68x = 41,561,246,021.98
  5. Step 5: Solve for x
    x = 41,561,246,021.98/288,239.68
  6. Step 6: Final answer
    x = 144,189.88

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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.