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Finding the Fourth Proportional to 102,264.70, 153,386.30 and 27,392.58

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Solution

The fourth proportional to 102,264.70, 153,386.30 and 27,392.58 is: 41,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,264.70 : 153,386.30 = 27,392.58 : x
  2. Step 2: Convert to fraction form
    102,264.70/153,386.30 = 27,392.58/x
  3. Step 3: Cross multiply
    102,264.70x = 153,386.30 × 27,392.58
  4. Step 4: Simplify right side
    102,264.70x = 4,201,646,493.65
  5. Step 5: Solve for x
    x = 4,201,646,493.65/102,264.70
  6. Step 6: Final answer
    x = 41,085.99

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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.