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Finding the Fourth Proportional to 242,532.28, 363,795.86 and 94,787

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Solution

The fourth proportional to 242,532.28, 363,795.86 and 94,787 is: 142,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,532.28 : 363,795.86 = 94,787 : x
  2. Step 2: Convert to fraction form
    242,532.28/363,795.86 = 94,787/x
  3. Step 3: Cross multiply
    242,532.28x = 363,795.86 × 94,787
  4. Step 4: Simplify right side
    242,532.28x = 34,483,118,181.82
  5. Step 5: Solve for x
    x = 34,483,118,181.82/242,532.28
  6. Step 6: Final answer
    x = 142,179.50

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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.