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Finding the Fourth Proportional to 228,312.53, 342,471.09 and 101,959.17

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Solution

The fourth proportional to 228,312.53, 342,471.09 and 101,959.17 is: 152,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,312.53 : 342,471.09 = 101,959.17 : x
  2. Step 2: Convert to fraction form
    228,312.53/342,471.09 = 101,959.17/x
  3. Step 3: Cross multiply
    228,312.53x = 342,471.09 × 101,959.17
  4. Step 4: Simplify right side
    228,312.53x = 34,918,068,085.40
  5. Step 5: Solve for x
    x = 34,918,068,085.40/228,312.53
  6. Step 6: Final answer
    x = 152,939.78

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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.