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Finding the Fourth Proportional to 233,112.20, 349,582.56 and 83,312

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Solution

The fourth proportional to 233,112.20, 349,582.56 and 83,312 is: 124,937.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,112.20 : 349,582.56 = 83,312 : x
  2. Step 2: Convert to fraction form
    233,112.20/349,582.56 = 83,312/x
  3. Step 3: Cross multiply
    233,112.20x = 349,582.56 × 83,312
  4. Step 4: Simplify right side
    233,112.20x = 29,124,422,238.72
  5. Step 5: Solve for x
    x = 29,124,422,238.72/233,112.20
  6. Step 6: Final answer
    x = 124,937.36

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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.