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Finding the Fourth Proportional to 355,411.80, 532,930.50 and 130,714.20

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Solution

The fourth proportional to 355,411.80, 532,930.50 and 130,714.20 is: 196,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,411.80 : 532,930.50 = 130,714.20 : x
  2. Step 2: Convert to fraction form
    355,411.80/532,930.50 = 130,714.20/x
  3. Step 3: Cross multiply
    355,411.80x = 532,930.50 × 130,714.20
  4. Step 4: Simplify right side
    355,411.80x = 69,661,583,963.10
  5. Step 5: Solve for x
    x = 69,661,583,963.10/355,411.80
  6. Step 6: Final answer
    x = 196,002.45

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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.