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Finding the Fourth Proportional to 210,894.26, 291,034.09 and 115,400.95

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Solution

The fourth proportional to 210,894.26, 291,034.09 and 115,400.95 is: 159,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,894.26 : 291,034.09 = 115,400.95 : x
  2. Step 2: Convert to fraction form
    210,894.26/291,034.09 = 115,400.95/x
  3. Step 3: Cross multiply
    210,894.26x = 291,034.09 × 115,400.95
  4. Step 4: Simplify right side
    210,894.26x = 33,585,611,197.55
  5. Step 5: Solve for x
    x = 33,585,611,197.55/210,894.26
  6. Step 6: Final answer
    x = 159,253.32

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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.