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Finding the Fourth Proportional to 180,219.67, 248,693.10 and 99,642.49

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Solution

The fourth proportional to 180,219.67, 248,693.10 and 99,642.49 is: 137,501.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,219.67 : 248,693.10 = 99,642.49 : x
  2. Step 2: Convert to fraction form
    180,219.67/248,693.10 = 99,642.49/x
  3. Step 3: Cross multiply
    180,219.67x = 248,693.10 × 99,642.49
  4. Step 4: Simplify right side
    180,219.67x = 24,780,399,729.82
  5. Step 5: Solve for x
    x = 24,780,399,729.82/180,219.67
  6. Step 6: Final answer
    x = 137,501.08

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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.