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Finding the Fourth Proportional to 357,137.58, 535,689.01 and 132,541.76

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Solution

The fourth proportional to 357,137.58, 535,689.01 and 132,541.76 is: 198,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,137.58 : 535,689.01 = 132,541.76 : x
  2. Step 2: Convert to fraction form
    357,137.58/535,689.01 = 132,541.76/x
  3. Step 3: Cross multiply
    357,137.58x = 535,689.01 × 132,541.76
  4. Step 4: Simplify right side
    357,137.58x = 71,001,164,198.06
  5. Step 5: Solve for x
    x = 71,001,164,198.06/357,137.58
  6. Step 6: Final answer
    x = 198,806.20

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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.