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Finding the Fourth Proportional to 233,116.20, 349,588.56 and 83,316

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Solution

The fourth proportional to 233,116.20, 349,588.56 and 83,316 is: 124,943.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,116.20 : 349,588.56 = 83,316 : x
  2. Step 2: Convert to fraction form
    233,116.20/349,588.56 = 83,316/x
  3. Step 3: Cross multiply
    233,116.20x = 349,588.56 × 83,316
  4. Step 4: Simplify right side
    233,116.20x = 29,126,320,464.96
  5. Step 5: Solve for x
    x = 29,126,320,464.96/233,116.20
  6. Step 6: Final answer
    x = 124,943.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.