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Finding the Fourth Proportional to 293,143.80, 439,424.10 and 135,096.60

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Solution

The fourth proportional to 293,143.80, 439,424.10 and 135,096.60 is: 202,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,143.80 : 439,424.10 = 135,096.60 : x
  2. Step 2: Convert to fraction form
    293,143.80/439,424.10 = 135,096.60/x
  3. Step 3: Cross multiply
    293,143.80x = 439,424.10 × 135,096.60
  4. Step 4: Simplify right side
    293,143.80x = 59,364,701,868.06
  5. Step 5: Solve for x
    x = 59,364,701,868.06/293,143.80
  6. Step 6: Final answer
    x = 202,510.51

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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.