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Finding the Fourth Proportional to 212,143.50, 292,764.87 and 116,657.10

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Solution

The fourth proportional to 212,143.50, 292,764.87 and 116,657.10 is: 160,990.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,143.50 : 292,764.87 = 116,657.10 : x
  2. Step 2: Convert to fraction form
    212,143.50/292,764.87 = 116,657.10/x
  3. Step 3: Cross multiply
    212,143.50x = 292,764.87 × 116,657.10
  4. Step 4: Simplify right side
    212,143.50x = 34,153,100,716.08
  5. Step 5: Solve for x
    x = 34,153,100,716.08/212,143.50
  6. Step 6: Final answer
    x = 160,990.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.