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Finding the Fourth Proportional to 153,203.49, 211,408.47 and 85,215.06

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Solution

The fourth proportional to 153,203.49, 211,408.47 and 85,215.06 is: 117,589.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,203.49 : 211,408.47 = 85,215.06 : x
  2. Step 2: Convert to fraction form
    153,203.49/211,408.47 = 85,215.06/x
  3. Step 3: Cross multiply
    153,203.49x = 211,408.47 × 85,215.06
  4. Step 4: Simplify right side
    153,203.49x = 18,015,185,455.56
  5. Step 5: Solve for x
    x = 18,015,185,455.56/153,203.49
  6. Step 6: Final answer
    x = 117,589.92

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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.