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Finding the Fourth Proportional to 257,117.84, 385,012.20 and 177,401.60

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Solution

The fourth proportional to 257,117.84, 385,012.20 and 177,401.60 is: 265,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,117.84 : 385,012.20 = 177,401.60 : x
  2. Step 2: Convert to fraction form
    257,117.84/385,012.20 = 177,401.60/x
  3. Step 3: Cross multiply
    257,117.84x = 385,012.20 × 177,401.60
  4. Step 4: Simplify right side
    257,117.84x = 68,301,780,299.52
  5. Step 5: Solve for x
    x = 68,301,780,299.52/257,117.84
  6. Step 6: Final answer
    x = 265,643.88

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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.