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Finding the Fourth Proportional to 212,102.56, 292,701.72 and 116,610.88

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Solution

The fourth proportional to 212,102.56, 292,701.72 and 116,610.88 is: 160,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,102.56 : 292,701.72 = 116,610.88 : x
  2. Step 2: Convert to fraction form
    212,102.56/292,701.72 = 116,610.88/x
  3. Step 3: Cross multiply
    212,102.56x = 292,701.72 × 116,610.88
  4. Step 4: Simplify right side
    212,102.56x = 34,132,205,146.71
  5. Step 5: Solve for x
    x = 34,132,205,146.71/212,102.56
  6. Step 6: Final answer
    x = 160,923.12

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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.