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Finding the Fourth Proportional to 231,609.68, 347,362.22 and 117,642.06

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Solution

The fourth proportional to 231,609.68, 347,362.22 and 117,642.06 is: 176,436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,609.68 : 347,362.22 = 117,642.06 : x
  2. Step 2: Convert to fraction form
    231,609.68/347,362.22 = 117,642.06/x
  3. Step 3: Cross multiply
    231,609.68x = 347,362.22 × 117,642.06
  4. Step 4: Simplify right side
    231,609.68x = 40,864,406,538.76
  5. Step 5: Solve for x
    x = 40,864,406,538.76/231,609.68
  6. Step 6: Final answer
    x = 176,436.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.