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Finding the Fourth Proportional to 210,347.84, 290,291.78 and 114,863.40

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Solution

The fourth proportional to 210,347.84, 290,291.78 and 114,863.40 is: 158,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,347.84 : 290,291.78 = 114,863.40 : x
  2. Step 2: Convert to fraction form
    210,347.84/290,291.78 = 114,863.40/x
  3. Step 3: Cross multiply
    210,347.84x = 290,291.78 × 114,863.40
  4. Step 4: Simplify right side
    210,347.84x = 33,343,900,842.85
  5. Step 5: Solve for x
    x = 33,343,900,842.85/210,347.84
  6. Step 6: Final answer
    x = 158,517.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.