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Finding the Fourth Proportional to 233,280.32, 349,834.44 and 83,480

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Solution

The fourth proportional to 233,280.32, 349,834.44 and 83,480 is: 125,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,280.32 : 349,834.44 = 83,480 : x
  2. Step 2: Convert to fraction form
    233,280.32/349,834.44 = 83,480/x
  3. Step 3: Cross multiply
    233,280.32x = 349,834.44 × 83,480
  4. Step 4: Simplify right side
    233,280.32x = 29,204,179,051.20
  5. Step 5: Solve for x
    x = 29,204,179,051.20/233,280.32
  6. Step 6: Final answer
    x = 125,189.21

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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.