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Finding the Fourth Proportional to 109,907.80, 164,861.70 and 86,288.20

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Solution

The fourth proportional to 109,907.80, 164,861.70 and 86,288.20 is: 129,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,907.80 : 164,861.70 = 86,288.20 : x
  2. Step 2: Convert to fraction form
    109,907.80/164,861.70 = 86,288.20/x
  3. Step 3: Cross multiply
    109,907.80x = 164,861.70 × 86,288.20
  4. Step 4: Simplify right side
    109,907.80x = 14,225,619,341.94
  5. Step 5: Solve for x
    x = 14,225,619,341.94/109,907.80
  6. Step 6: Final answer
    x = 129,432.30

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1.5x scale

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.