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Finding the Fourth Proportional to 148,307.86, 222,459.91 and 35,989

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Solution

The fourth proportional to 148,307.86, 222,459.91 and 35,989 is: 53,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,307.86 : 222,459.91 = 35,989 : x
  2. Step 2: Convert to fraction form
    148,307.86/222,459.91 = 35,989/x
  3. Step 3: Cross multiply
    148,307.86x = 222,459.91 × 35,989
  4. Step 4: Simplify right side
    148,307.86x = 8,006,109,700.99
  5. Step 5: Solve for x
    x = 8,006,109,700.99/148,307.86
  6. Step 6: Final answer
    x = 53,983.04

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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.