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Finding the Fourth Proportional to 103,696.80, 155,314.80 and 85,264.80

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Solution

The fourth proportional to 103,696.80, 155,314.80 and 85,264.80 is: 127,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,696.80 : 155,314.80 = 85,264.80 : x
  2. Step 2: Convert to fraction form
    103,696.80/155,314.80 = 85,264.80/x
  3. Step 3: Cross multiply
    103,696.80x = 155,314.80 × 85,264.80
  4. Step 4: Simplify right side
    103,696.80x = 13,242,885,359.04
  5. Step 5: Solve for x
    x = 13,242,885,359.04/103,696.80
  6. Step 6: Final answer
    x = 127,707.75

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Why These Related Problems?

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