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Finding the Fourth Proportional to 252,323, 378,484.56 and 102,644.72

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Solution

The fourth proportional to 252,323, 378,484.56 and 102,644.72 is: 153,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,323 : 378,484.56 = 102,644.72 : x
  2. Step 2: Convert to fraction form
    252,323/378,484.56 = 102,644.72/x
  3. Step 3: Cross multiply
    252,323x = 378,484.56 × 102,644.72
  4. Step 4: Simplify right side
    252,323x = 38,849,441,685.52
  5. Step 5: Solve for x
    x = 38,849,441,685.52/252,323
  6. Step 6: Final answer
    x = 153,967.10

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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.