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Finding the Fourth Proportional to 148,611, 222,929.46 and 37,803

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Solution

The fourth proportional to 148,611, 222,929.46 and 37,803 is: 56,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,611 : 222,929.46 = 37,803 : x
  2. Step 2: Convert to fraction form
    148,611/222,929.46 = 37,803/x
  3. Step 3: Cross multiply
    148,611x = 222,929.46 × 37,803
  4. Step 4: Simplify right side
    148,611x = 8,427,402,376.38
  5. Step 5: Solve for x
    x = 8,427,402,376.38/148,611
  6. Step 6: Final answer
    x = 56,707.80

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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.