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Finding the Fourth Proportional to 342,109, 472,095.57 and 187,057.45

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Solution

The fourth proportional to 342,109, 472,095.57 and 187,057.45 is: 258,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,109 : 472,095.57 = 187,057.45 : x
  2. Step 2: Convert to fraction form
    342,109/472,095.57 = 187,057.45/x
  3. Step 3: Cross multiply
    342,109x = 472,095.57 × 187,057.45
  4. Step 4: Simplify right side
    342,109x = 88,308,993,480.50
  5. Step 5: Solve for x
    x = 88,308,993,480.50/342,109
  6. Step 6: Final answer
    x = 258,131.16

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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.