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Finding the Fourth Proportional to 193,106.31, 266,436.68 and 116,564.91

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Solution

The fourth proportional to 193,106.31, 266,436.68 and 116,564.91 is: 160,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,106.31 : 266,436.68 = 116,564.91 : x
  2. Step 2: Convert to fraction form
    193,106.31/266,436.68 = 116,564.91/x
  3. Step 3: Cross multiply
    193,106.31x = 266,436.68 × 116,564.91
  4. Step 4: Simplify right side
    193,106.31x = 31,057,167,042.07
  5. Step 5: Solve for x
    x = 31,057,167,042.07/193,106.31
  6. Step 6: Final answer
    x = 160,829.37

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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.