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Finding the Fourth Proportional to 230,913.40, 346,370.10 and 156,069.40

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Solution

The fourth proportional to 230,913.40, 346,370.10 and 156,069.40 is: 234,104.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,913.40 : 346,370.10 = 156,069.40 : x
  2. Step 2: Convert to fraction form
    230,913.40/346,370.10 = 156,069.40/x
  3. Step 3: Cross multiply
    230,913.40x = 346,370.10 × 156,069.40
  4. Step 4: Simplify right side
    230,913.40x = 54,057,773,684.94
  5. Step 5: Solve for x
    x = 54,057,773,684.94/230,913.40
  6. Step 6: Final answer
    x = 234,104.10

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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.