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Finding the Fourth Proportional to 177,224.76, 265,759.38 and 66,339

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Solution

The fourth proportional to 177,224.76, 265,759.38 and 66,339 is: 99,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,224.76 : 265,759.38 = 66,339 : x
  2. Step 2: Convert to fraction form
    177,224.76/265,759.38 = 66,339/x
  3. Step 3: Cross multiply
    177,224.76x = 265,759.38 × 66,339
  4. Step 4: Simplify right side
    177,224.76x = 17,630,211,509.82
  5. Step 5: Solve for x
    x = 17,630,211,509.82/177,224.76
  6. Step 6: Final answer
    x = 99,479.39

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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.