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Finding the Fourth Proportional to 242,561.78, 363,399.30 and 175,836.41

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Solution

The fourth proportional to 242,561.78, 363,399.30 and 175,836.41 is: 263,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,561.78 : 363,399.30 = 175,836.41 : x
  2. Step 2: Convert to fraction form
    242,561.78/363,399.30 = 175,836.41/x
  3. Step 3: Cross multiply
    242,561.78x = 363,399.30 × 175,836.41
  4. Step 4: Simplify right side
    242,561.78x = 63,898,828,308.51
  5. Step 5: Solve for x
    x = 63,898,828,308.51/242,561.78
  6. Step 6: Final answer
    x = 263,433.21

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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.