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Finding the Fourth Proportional to 230,701.40, 346,052.10 and 106,042.40

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Solution

The fourth proportional to 230,701.40, 346,052.10 and 106,042.40 is: 159,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,701.40 : 346,052.10 = 106,042.40 : x
  2. Step 2: Convert to fraction form
    230,701.40/346,052.10 = 106,042.40/x
  3. Step 3: Cross multiply
    230,701.40x = 346,052.10 × 106,042.40
  4. Step 4: Simplify right side
    230,701.40x = 36,696,195,209.04
  5. Step 5: Solve for x
    x = 36,696,195,209.04/230,701.40
  6. Step 6: Final answer
    x = 159,063.60

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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.