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Finding the Fourth Proportional to 148,598, 222,931.56 and 50,102

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Solution

The fourth proportional to 148,598, 222,931.56 and 50,102 is: 75,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,598 : 222,931.56 = 50,102 : x
  2. Step 2: Convert to fraction form
    148,598/222,931.56 = 50,102/x
  3. Step 3: Cross multiply
    148,598x = 222,931.56 × 50,102
  4. Step 4: Simplify right side
    148,598x = 11,169,317,019.12
  5. Step 5: Solve for x
    x = 11,169,317,019.12/148,598
  6. Step 6: Final answer
    x = 75,164.65

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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.