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Finding the Fourth Proportional to 234,217.76, 351,111.36 and 84,421.40

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Solution

The fourth proportional to 234,217.76, 351,111.36 and 84,421.40 is: 126,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,217.76 : 351,111.36 = 84,421.40 : x
  2. Step 2: Convert to fraction form
    234,217.76/351,111.36 = 84,421.40/x
  3. Step 3: Cross multiply
    234,217.76x = 351,111.36 × 84,421.40
  4. Step 4: Simplify right side
    234,217.76x = 29,641,312,567.10
  5. Step 5: Solve for x
    x = 29,641,312,567.10/234,217.76
  6. Step 6: Final answer
    x = 126,554.50

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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.