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Finding the Fourth Proportional to 153,189.82, 211,398.91 and 85,205.33

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Solution

The fourth proportional to 153,189.82, 211,398.91 and 85,205.33 is: 117,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,189.82 : 211,398.91 = 85,205.33 : x
  2. Step 2: Convert to fraction form
    153,189.82/211,398.91 = 85,205.33/x
  3. Step 3: Cross multiply
    153,189.82x = 211,398.91 × 85,205.33
  4. Step 4: Simplify right side
    153,189.82x = 18,012,313,888.19
  5. Step 5: Solve for x
    x = 18,012,313,888.19/153,189.82
  6. Step 6: Final answer
    x = 117,581.66

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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.