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Finding the Fourth Proportional to 242,471.48, 334,621.02 and 135,041.50

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Solution

The fourth proportional to 242,471.48, 334,621.02 and 135,041.50 is: 186,363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,471.48 : 334,621.02 = 135,041.50 : x
  2. Step 2: Convert to fraction form
    242,471.48/334,621.02 = 135,041.50/x
  3. Step 3: Cross multiply
    242,471.48x = 334,621.02 × 135,041.50
  4. Step 4: Simplify right side
    242,471.48x = 45,187,724,472.33
  5. Step 5: Solve for x
    x = 45,187,724,472.33/242,471.48
  6. Step 6: Final answer
    x = 186,363.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.