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Finding the Fourth Proportional to 153,762.26, 212,191.96 and 86,694.26

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Solution

The fourth proportional to 153,762.26, 212,191.96 and 86,694.26 is: 119,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,762.26 : 212,191.96 = 86,694.26 : x
  2. Step 2: Convert to fraction form
    153,762.26/212,191.96 = 86,694.26/x
  3. Step 3: Cross multiply
    153,762.26x = 212,191.96 × 86,694.26
  4. Step 4: Simplify right side
    153,762.26x = 18,395,824,950.15
  5. Step 5: Solve for x
    x = 18,395,824,950.15/153,762.26
  6. Step 6: Final answer
    x = 119,638.10

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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.