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Finding the Fourth Proportional to 242,944.80, 335,419.92 and 152,424.96

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Solution

The fourth proportional to 242,944.80, 335,419.92 and 152,424.96 is: 210,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,944.80 : 335,419.92 = 152,424.96 : x
  2. Step 2: Convert to fraction form
    242,944.80/335,419.92 = 152,424.96/x
  3. Step 3: Cross multiply
    242,944.80x = 335,419.92 × 152,424.96
  4. Step 4: Simplify right side
    242,944.80x = 51,126,367,889.20
  5. Step 5: Solve for x
    x = 51,126,367,889.20/242,944.80
  6. Step 6: Final answer
    x = 210,444.38

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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.