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Finding the Fourth Proportional to 228,577.40, 342,876.90 and 70,916.30

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Solution

The fourth proportional to 228,577.40, 342,876.90 and 70,916.30 is: 106,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,577.40 : 342,876.90 = 70,916.30 : x
  2. Step 2: Convert to fraction form
    228,577.40/342,876.90 = 70,916.30/x
  3. Step 3: Cross multiply
    228,577.40x = 342,876.90 × 70,916.30
  4. Step 4: Simplify right side
    228,577.40x = 24,315,561,103.47
  5. Step 5: Solve for x
    x = 24,315,561,103.47/228,577.40
  6. Step 6: Final answer
    x = 106,377.80

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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.