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Finding the Fourth Proportional to 233,219.40, 349,827.91 and 91,079.12

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Solution

The fourth proportional to 233,219.40, 349,827.91 and 91,079.12 is: 136,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,219.40 : 349,827.91 = 91,079.12 : x
  2. Step 2: Convert to fraction form
    233,219.40/349,827.91 = 91,079.12/x
  3. Step 3: Cross multiply
    233,219.40x = 349,827.91 × 91,079.12
  4. Step 4: Simplify right side
    233,219.40x = 31,862,016,558.95
  5. Step 5: Solve for x
    x = 31,862,016,558.95/233,219.40
  6. Step 6: Final answer
    x = 136,618.21

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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.