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Finding the Fourth Proportional to 432,193.66, 648,386.81 and 132,700.35

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Solution

The fourth proportional to 432,193.66, 648,386.81 and 132,700.35 is: 199,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,193.66 : 648,386.81 = 132,700.35 : x
  2. Step 2: Convert to fraction form
    432,193.66/648,386.81 = 132,700.35/x
  3. Step 3: Cross multiply
    432,193.66x = 648,386.81 × 132,700.35
  4. Step 4: Simplify right side
    432,193.66x = 86,041,153,712.20
  5. Step 5: Solve for x
    x = 86,041,153,712.20/432,193.66
  6. Step 6: Final answer
    x = 199,080.09

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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.