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Finding the Fourth Proportional to 233,282.32, 349,837.44 and 83,482

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Solution

The fourth proportional to 233,282.32, 349,837.44 and 83,482 is: 125,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,282.32 : 349,837.44 = 83,482 : x
  2. Step 2: Convert to fraction form
    233,282.32/349,837.44 = 83,482/x
  3. Step 3: Cross multiply
    233,282.32x = 349,837.44 × 83,482
  4. Step 4: Simplify right side
    233,282.32x = 29,205,129,166.08
  5. Step 5: Solve for x
    x = 29,205,129,166.08/233,282.32
  6. Step 6: Final answer
    x = 125,192.21

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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.