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Finding the Fourth Proportional to 432,192.69, 648,390.87 and 147,886.34

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Solution

The fourth proportional to 432,192.69, 648,390.87 and 147,886.34 is: 221,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,192.69 : 648,390.87 = 147,886.34 : x
  2. Step 2: Convert to fraction form
    432,192.69/648,390.87 = 147,886.34/x
  3. Step 3: Cross multiply
    432,192.69x = 648,390.87 × 147,886.34
  4. Step 4: Simplify right side
    432,192.69x = 95,888,148,672.33
  5. Step 5: Solve for x
    x = 95,888,148,672.33/432,192.69
  6. Step 6: Final answer
    x = 221,864.35

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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.