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Finding the Fourth Proportional to 210,217.77, 290,416.46 and 137,792.57

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Solution

The fourth proportional to 210,217.77, 290,416.46 and 137,792.57 is: 190,360.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,217.77 : 290,416.46 = 137,792.57 : x
  2. Step 2: Convert to fraction form
    210,217.77/290,416.46 = 137,792.57/x
  3. Step 3: Cross multiply
    210,217.77x = 290,416.46 × 137,792.57
  4. Step 4: Simplify right side
    210,217.77x = 40,017,228,252.66
  5. Step 5: Solve for x
    x = 40,017,228,252.66/210,217.77
  6. Step 6: Final answer
    x = 190,360.83

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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.