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Finding the Fourth Proportional to 357,077.80, 535,616.70 and 107,727.40

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Solution

The fourth proportional to 357,077.80, 535,616.70 and 107,727.40 is: 161,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,077.80 : 535,616.70 = 107,727.40 : x
  2. Step 2: Convert to fraction form
    357,077.80/535,616.70 = 107,727.40/x
  3. Step 3: Cross multiply
    357,077.80x = 535,616.70 × 107,727.40
  4. Step 4: Simplify right side
    357,077.80x = 57,700,594,487.58
  5. Step 5: Solve for x
    x = 57,700,594,487.58/357,077.80
  6. Step 6: Final answer
    x = 161,591.10

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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.