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Finding the Fourth Proportional to 357,098.50, 535,679.21 and 132,461.34

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Solution

The fourth proportional to 357,098.50, 535,679.21 and 132,461.34 is: 198,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,098.50 : 535,679.21 = 132,461.34 : x
  2. Step 2: Convert to fraction form
    357,098.50/535,679.21 = 132,461.34/x
  3. Step 3: Cross multiply
    357,098.50x = 535,679.21 × 132,461.34
  4. Step 4: Simplify right side
    357,098.50x = 70,956,785,966.74
  5. Step 5: Solve for x
    x = 70,956,785,966.74/357,098.50
  6. Step 6: Final answer
    x = 198,703.68

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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.