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Finding the Fourth Proportional to 157,297, 217,069.86 and 90,250.60

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Solution

The fourth proportional to 157,297, 217,069.86 and 90,250.60 is: 124,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,297 : 217,069.86 = 90,250.60 : x
  2. Step 2: Convert to fraction form
    157,297/217,069.86 = 90,250.60/x
  3. Step 3: Cross multiply
    157,297x = 217,069.86 × 90,250.60
  4. Step 4: Simplify right side
    157,297x = 19,590,685,106.92
  5. Step 5: Solve for x
    x = 19,590,685,106.92/157,297
  6. Step 6: Final answer
    x = 124,545.83

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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.