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Finding the Fourth Proportional to 294,262.06, 441,397.19 and 83,900

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Solution

The fourth proportional to 294,262.06, 441,397.19 and 83,900 is: 125,851.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,262.06 : 441,397.19 = 83,900 : x
  2. Step 2: Convert to fraction form
    294,262.06/441,397.19 = 83,900/x
  3. Step 3: Cross multiply
    294,262.06x = 441,397.19 × 83,900
  4. Step 4: Simplify right side
    294,262.06x = 37,033,224,241
  5. Step 5: Solve for x
    x = 37,033,224,241/294,262.06
  6. Step 6: Final answer
    x = 125,851.17

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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.