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Finding the Fourth Proportional to 261,999.84, 393,047.28 and 149,806.56

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Solution

The fourth proportional to 261,999.84, 393,047.28 and 149,806.56 is: 224,737.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,999.84 : 393,047.28 = 149,806.56 : x
  2. Step 2: Convert to fraction form
    261,999.84/393,047.28 = 149,806.56/x
  3. Step 3: Cross multiply
    261,999.84x = 393,047.28 × 149,806.56
  4. Step 4: Simplify right side
    261,999.84x = 58,881,060,934.16
  5. Step 5: Solve for x
    x = 58,881,060,934.16/261,999.84
  6. Step 6: Final answer
    x = 224,737.01

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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.