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Finding the Fourth Proportional to 151,593.84, 209,200.32 and 83,613.20

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Solution

The fourth proportional to 151,593.84, 209,200.32 and 83,613.20 is: 115,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,593.84 : 209,200.32 = 83,613.20 : x
  2. Step 2: Convert to fraction form
    151,593.84/209,200.32 = 83,613.20/x
  3. Step 3: Cross multiply
    151,593.84x = 209,200.32 × 83,613.20
  4. Step 4: Simplify right side
    151,593.84x = 17,491,908,196.22
  5. Step 5: Solve for x
    x = 17,491,908,196.22/151,593.84
  6. Step 6: Final answer
    x = 115,386.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.