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Finding the Fourth Proportional to 212,251.78, 292,905.34 and 116,758.59

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Solution

The fourth proportional to 212,251.78, 292,905.34 and 116,758.59 is: 161,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,251.78 : 292,905.34 = 116,758.59 : x
  2. Step 2: Convert to fraction form
    212,251.78/292,905.34 = 116,758.59/x
  3. Step 3: Cross multiply
    212,251.78x = 292,905.34 × 116,758.59
  4. Step 4: Simplify right side
    212,251.78x = 34,199,214,501.87
  5. Step 5: Solve for x
    x = 34,199,214,501.87/212,251.78
  6. Step 6: Final answer
    x = 161,125.69

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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.