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Finding the Fourth Proportional to 235,371.98, 353,056.34 and 77,613.14

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Solution

The fourth proportional to 235,371.98, 353,056.34 and 77,613.14 is: 116,419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,371.98 : 353,056.34 = 77,613.14 : x
  2. Step 2: Convert to fraction form
    235,371.98/353,056.34 = 77,613.14/x
  3. Step 3: Cross multiply
    235,371.98x = 353,056.34 × 77,613.14
  4. Step 4: Simplify right side
    235,371.98x = 27,401,808,990.96
  5. Step 5: Solve for x
    x = 27,401,808,990.96/235,371.98
  6. Step 6: Final answer
    x = 116,419.17

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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.