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Finding the Fourth Proportional to 211,800.70, 292,287 and 116,309.40

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Solution

The fourth proportional to 211,800.70, 292,287 and 116,309.40 is: 160,508.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,800.70 : 292,287 = 116,309.40 : x
  2. Step 2: Convert to fraction form
    211,800.70/292,287 = 116,309.40/x
  3. Step 3: Cross multiply
    211,800.70x = 292,287 × 116,309.40
  4. Step 4: Simplify right side
    211,800.70x = 33,995,725,597.80
  5. Step 5: Solve for x
    x = 33,995,725,597.80/211,800.70
  6. Step 6: Final answer
    x = 160,508.09

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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.