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Finding the Fourth Proportional to 242,245.92, 363,417.48 and 84,432

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Solution

The fourth proportional to 242,245.92, 363,417.48 and 84,432 is: 126,664.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,245.92 : 363,417.48 = 84,432 : x
  2. Step 2: Convert to fraction form
    242,245.92/363,417.48 = 84,432/x
  3. Step 3: Cross multiply
    242,245.92x = 363,417.48 × 84,432
  4. Step 4: Simplify right side
    242,245.92x = 30,684,064,671.36
  5. Step 5: Solve for x
    x = 30,684,064,671.36/242,245.92
  6. Step 6: Final answer
    x = 126,664.94

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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.