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Finding the Fourth Proportional to 225,509.96, 338,264.94 and 59,285

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Solution

The fourth proportional to 225,509.96, 338,264.94 and 59,285 is: 88,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,509.96 : 338,264.94 = 59,285 : x
  2. Step 2: Convert to fraction form
    225,509.96/338,264.94 = 59,285/x
  3. Step 3: Cross multiply
    225,509.96x = 338,264.94 × 59,285
  4. Step 4: Simplify right side
    225,509.96x = 20,054,036,967.90
  5. Step 5: Solve for x
    x = 20,054,036,967.90/225,509.96
  6. Step 6: Final answer
    x = 88,927.50

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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.