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Finding the Fourth Proportional to 171,856.09, 257,750.74 and 86,444.20

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Solution

The fourth proportional to 171,856.09, 257,750.74 and 86,444.20 is: 129,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,856.09 : 257,750.74 = 86,444.20 : x
  2. Step 2: Convert to fraction form
    171,856.09/257,750.74 = 86,444.20/x
  3. Step 3: Cross multiply
    171,856.09x = 257,750.74 × 86,444.20
  4. Step 4: Simplify right side
    171,856.09x = 22,281,056,518.71
  5. Step 5: Solve for x
    x = 22,281,056,518.71/171,856.09
  6. Step 6: Final answer
    x = 129,649.50

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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.