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Finding the Fourth Proportional to 153,000.82, 211,136.93 and 85,016.05

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Solution

The fourth proportional to 153,000.82, 211,136.93 and 85,016.05 is: 117,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,000.82 : 211,136.93 = 85,016.05 : x
  2. Step 2: Convert to fraction form
    153,000.82/211,136.93 = 85,016.05/x
  3. Step 3: Cross multiply
    153,000.82x = 211,136.93 × 85,016.05
  4. Step 4: Simplify right side
    153,000.82x = 17,950,027,163.61
  5. Step 5: Solve for x
    x = 17,950,027,163.61/153,000.82
  6. Step 6: Final answer
    x = 117,319.81

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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.