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Finding the Fourth Proportional to 136,696.90, 205,036.24 and 65,670.43

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Solution

The fourth proportional to 136,696.90, 205,036.24 and 65,670.43 is: 98,501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,696.90 : 205,036.24 = 65,670.43 : x
  2. Step 2: Convert to fraction form
    136,696.90/205,036.24 = 65,670.43/x
  3. Step 3: Cross multiply
    136,696.90x = 205,036.24 × 65,670.43
  4. Step 4: Simplify right side
    136,696.90x = 13,464,818,046.38
  5. Step 5: Solve for x
    x = 13,464,818,046.38/136,696.90
  6. Step 6: Final answer
    x = 98,501.27

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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.