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Finding the Fourth Proportional to 69,706.59, 105,085.08 and 65,196.51

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Solution

The fourth proportional to 69,706.59, 105,085.08 and 65,196.51 is: 98,285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,706.59 : 105,085.08 = 65,196.51 : x
  2. Step 2: Convert to fraction form
    69,706.59/105,085.08 = 65,196.51/x
  3. Step 3: Cross multiply
    69,706.59x = 105,085.08 × 65,196.51
  4. Step 4: Simplify right side
    69,706.59x = 6,851,180,469.07
  5. Step 5: Solve for x
    x = 6,851,180,469.07/69,706.59
  6. Step 6: Final answer
    x = 98,285.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.