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Finding the Fourth Proportional to 154,459.90, 213,144.36 and 86,465.38

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Solution

The fourth proportional to 154,459.90, 213,144.36 and 86,465.38 is: 119,316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,459.90 : 213,144.36 = 86,465.38 : x
  2. Step 2: Convert to fraction form
    154,459.90/213,144.36 = 86,465.38/x
  3. Step 3: Cross multiply
    154,459.90x = 213,144.36 × 86,465.38
  4. Step 4: Simplify right side
    154,459.90x = 18,429,608,082.26
  5. Step 5: Solve for x
    x = 18,429,608,082.26/154,459.90
  6. Step 6: Final answer
    x = 119,316.46

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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.