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Finding the Fourth Proportional to 252,024, 378,194.24 and 102,264.91

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Solution

The fourth proportional to 252,024, 378,194.24 and 102,264.91 is: 153,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,024 : 378,194.24 = 102,264.91 : x
  2. Step 2: Convert to fraction form
    252,024/378,194.24 = 102,264.91/x
  3. Step 3: Cross multiply
    252,024x = 378,194.24 × 102,264.91
  4. Step 4: Simplify right side
    252,024x = 38,675,999,916.12
  5. Step 5: Solve for x
    x = 38,675,999,916.12/252,024
  6. Step 6: Final answer
    x = 153,461.57

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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.