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Finding the Fourth Proportional to 99,285, 148,927.50 and 25,413

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Solution

The fourth proportional to 99,285, 148,927.50 and 25,413 is: 38,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,285 : 148,927.50 = 25,413 : x
  2. Step 2: Convert to fraction form
    99,285/148,927.50 = 25,413/x
  3. Step 3: Cross multiply
    99,285x = 148,927.50 × 25,413
  4. Step 4: Simplify right side
    99,285x = 3,784,694,557.50
  5. Step 5: Solve for x
    x = 3,784,694,557.50/99,285
  6. Step 6: Final answer
    x = 38,119.50

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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.