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Finding the Fourth Proportional to 242,619.68, 363,929.52 and 94,772

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Solution

The fourth proportional to 242,619.68, 363,929.52 and 94,772 is: 142,158

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,619.68 : 363,929.52 = 94,772 : x
  2. Step 2: Convert to fraction form
    242,619.68/363,929.52 = 94,772/x
  3. Step 3: Cross multiply
    242,619.68x = 363,929.52 × 94,772
  4. Step 4: Simplify right side
    242,619.68x = 34,490,328,469.44
  5. Step 5: Solve for x
    x = 34,490,328,469.44/242,619.68
  6. Step 6: Final answer
    x = 142,158

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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.