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Finding the Fourth Proportional to 195,224.73, 292,909.99 and 76,978.50

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Solution

The fourth proportional to 195,224.73, 292,909.99 and 76,978.50 is: 115,496.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,224.73 : 292,909.99 = 76,978.50 : x
  2. Step 2: Convert to fraction form
    195,224.73/292,909.99 = 76,978.50/x
  3. Step 3: Cross multiply
    195,224.73x = 292,909.99 × 76,978.50
  4. Step 4: Simplify right side
    195,224.73x = 22,547,771,665.22
  5. Step 5: Solve for x
    x = 22,547,771,665.22/195,224.73
  6. Step 6: Final answer
    x = 115,496.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.