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Finding the Fourth Proportional to 354,735.68, 532,090.56 and 105,411.20

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Solution

The fourth proportional to 354,735.68, 532,090.56 and 105,411.20 is: 158,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,735.68 : 532,090.56 = 105,411.20 : x
  2. Step 2: Convert to fraction form
    354,735.68/532,090.56 = 105,411.20/x
  3. Step 3: Cross multiply
    354,735.68x = 532,090.56 × 105,411.20
  4. Step 4: Simplify right side
    354,735.68x = 56,088,304,438.27
  5. Step 5: Solve for x
    x = 56,088,304,438.27/354,735.68
  6. Step 6: Final answer
    x = 158,112.95

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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.