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Finding the Fourth Proportional to 282,751.49, 424,037.24 and 93,176.49

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Solution

The fourth proportional to 282,751.49, 424,037.24 and 93,176.49 is: 139,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,751.49 : 424,037.24 = 93,176.49 : x
  2. Step 2: Convert to fraction form
    282,751.49/424,037.24 = 93,176.49/x
  3. Step 3: Cross multiply
    282,751.49x = 424,037.24 × 93,176.49
  4. Step 4: Simplify right side
    282,751.49x = 39,510,303,650.27
  5. Step 5: Solve for x
    x = 39,510,303,650.27/282,751.49
  6. Step 6: Final answer
    x = 139,735.08

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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.