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Finding the Fourth Proportional to 282,981.56, 424,524.84 and 93,455.06

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Solution

The fourth proportional to 282,981.56, 424,524.84 and 93,455.06 is: 140,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,981.56 : 424,524.84 = 93,455.06 : x
  2. Step 2: Convert to fraction form
    282,981.56/424,524.84 = 93,455.06/x
  3. Step 3: Cross multiply
    282,981.56x = 424,524.84 × 93,455.06
  4. Step 4: Simplify right side
    282,981.56x = 39,673,994,393.69
  5. Step 5: Solve for x
    x = 39,673,994,393.69/282,981.56
  6. Step 6: Final answer
    x = 140,199.93

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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.