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Finding the Fourth Proportional to 432,200.84, 648,397.50 and 132,707.48

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Solution

The fourth proportional to 432,200.84, 648,397.50 and 132,707.48 is: 199,090.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,200.84 : 648,397.50 = 132,707.48 : x
  2. Step 2: Convert to fraction form
    432,200.84/648,397.50 = 132,707.48/x
  3. Step 3: Cross multiply
    432,200.84x = 648,397.50 × 132,707.48
  4. Step 4: Simplify right side
    432,200.84x = 86,047,198,263.30
  5. Step 5: Solve for x
    x = 86,047,198,263.30/432,200.84
  6. Step 6: Final answer
    x = 199,090.77

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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.