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Finding the Fourth Proportional to 102,386.85, 153,569.89 and 27,497.26

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Solution

The fourth proportional to 102,386.85, 153,569.89 and 27,497.26 is: 41,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,386.85 : 153,569.89 = 27,497.26 : x
  2. Step 2: Convert to fraction form
    102,386.85/153,569.89 = 27,497.26/x
  3. Step 3: Cross multiply
    102,386.85x = 153,569.89 × 27,497.26
  4. Step 4: Simplify right side
    102,386.85x = 4,222,751,124.76
  5. Step 5: Solve for x
    x = 4,222,751,124.76/102,386.85
  6. Step 6: Final answer
    x = 41,243.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.