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Finding the Fourth Proportional to 153,986.26, 212,495.04 and 96,656.38

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Solution

The fourth proportional to 153,986.26, 212,495.04 and 96,656.38 is: 133,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,986.26 : 212,495.04 = 96,656.38 : x
  2. Step 2: Convert to fraction form
    153,986.26/212,495.04 = 96,656.38/x
  3. Step 3: Cross multiply
    153,986.26x = 212,495.04 × 96,656.38
  4. Step 4: Simplify right side
    153,986.26x = 20,539,001,334.36
  5. Step 5: Solve for x
    x = 20,539,001,334.36/153,986.26
  6. Step 6: Final answer
    x = 133,382.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.