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Finding the Fourth Proportional to 342,095.50, 513,227.34 and 117,459.22

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Solution

The fourth proportional to 342,095.50, 513,227.34 and 117,459.22 is: 176,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,095.50 : 513,227.34 = 117,459.22 : x
  2. Step 2: Convert to fraction form
    342,095.50/513,227.34 = 117,459.22/x
  3. Step 3: Cross multiply
    342,095.50x = 513,227.34 × 117,459.22
  4. Step 4: Simplify right side
    342,095.50x = 60,283,283,039.07
  5. Step 5: Solve for x
    x = 60,283,283,039.07/342,095.50
  6. Step 6: Final answer
    x = 176,217.70

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