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Finding the Fourth Proportional to 257,856.54, 386,776.71 and 70,866.42

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Solution

The fourth proportional to 257,856.54, 386,776.71 and 70,866.42 is: 106,297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,856.54 : 386,776.71 = 70,866.42 : x
  2. Step 2: Convert to fraction form
    257,856.54/386,776.71 = 70,866.42/x
  3. Step 3: Cross multiply
    257,856.54x = 386,776.71 × 70,866.42
  4. Step 4: Simplify right side
    257,856.54x = 27,409,480,777.08
  5. Step 5: Solve for x
    x = 27,409,480,777.08/257,856.54
  6. Step 6: Final answer
    x = 106,297.40

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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.