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Finding the Fourth Proportional to 212,036.40, 292,609.80 and 116,542.80

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Solution

The fourth proportional to 212,036.40, 292,609.80 and 116,542.80 is: 160,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,036.40 : 292,609.80 = 116,542.80 : x
  2. Step 2: Convert to fraction form
    212,036.40/292,609.80 = 116,542.80/x
  3. Step 3: Cross multiply
    212,036.40x = 292,609.80 × 116,542.80
  4. Step 4: Simplify right side
    212,036.40x = 34,101,565,399.44
  5. Step 5: Solve for x
    x = 34,101,565,399.44/212,036.40
  6. Step 6: Final answer
    x = 160,828.83

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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.