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Finding the Fourth Proportional to 239,696.42, 359,682.01 and 97,515.46

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Solution

The fourth proportional to 239,696.42, 359,682.01 and 97,515.46 is: 146,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,696.42 : 359,682.01 = 97,515.46 : x
  2. Step 2: Convert to fraction form
    239,696.42/359,682.01 = 97,515.46/x
  3. Step 3: Cross multiply
    239,696.42x = 359,682.01 × 97,515.46
  4. Step 4: Simplify right side
    239,696.42x = 35,074,554,616.68
  5. Step 5: Solve for x
    x = 35,074,554,616.68/239,696.42
  6. Step 6: Final answer
    x = 146,329.07

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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.