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Finding the Fourth Proportional to 257,856.55, 386,787.49 and 77,943.47

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Solution

The fourth proportional to 257,856.55, 386,787.49 and 77,943.47 is: 116,916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,856.55 : 386,787.49 = 77,943.47 : x
  2. Step 2: Convert to fraction form
    257,856.55/386,787.49 = 77,943.47/x
  3. Step 3: Cross multiply
    257,856.55x = 386,787.49 × 77,943.47
  4. Step 4: Simplify right side
    257,856.55x = 30,147,556,994.39
  5. Step 5: Solve for x
    x = 30,147,556,994.39/257,856.55
  6. Step 6: Final answer
    x = 116,916.00

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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.