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Finding the Fourth Proportional to 177,224.86, 265,851.69 and 52,565.50

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Solution

The fourth proportional to 177,224.86, 265,851.69 and 52,565.50 is: 78,852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,224.86 : 265,851.69 = 52,565.50 : x
  2. Step 2: Convert to fraction form
    177,224.86/265,851.69 = 52,565.50/x
  3. Step 3: Cross multiply
    177,224.86x = 265,851.69 × 52,565.50
  4. Step 4: Simplify right side
    177,224.86x = 13,974,627,010.70
  5. Step 5: Solve for x
    x = 13,974,627,010.70/177,224.86
  6. Step 6: Final answer
    x = 78,852.52

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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.