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Finding the Fourth Proportional to 280,057.68, 419,950.08 and 93,006

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Solution

The fourth proportional to 280,057.68, 419,950.08 and 93,006 is: 139,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,057.68 : 419,950.08 = 93,006 : x
  2. Step 2: Convert to fraction form
    280,057.68/419,950.08 = 93,006/x
  3. Step 3: Cross multiply
    280,057.68x = 419,950.08 × 93,006
  4. Step 4: Simplify right side
    280,057.68x = 39,057,877,140.48
  5. Step 5: Solve for x
    x = 39,057,877,140.48/280,057.68
  6. Step 6: Final answer
    x = 139,463.69

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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.