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Finding the Fourth Proportional to 282,775.74, 424,073.70 and 93,200.78

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Solution

The fourth proportional to 282,775.74, 424,073.70 and 93,200.78 is: 139,771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,775.74 : 424,073.70 = 93,200.78 : x
  2. Step 2: Convert to fraction form
    282,775.74/424,073.70 = 93,200.78/x
  3. Step 3: Cross multiply
    282,775.74x = 424,073.70 × 93,200.78
  4. Step 4: Simplify right side
    282,775.74x = 39,523,997,497.12
  5. Step 5: Solve for x
    x = 39,523,997,497.12/282,775.74
  6. Step 6: Final answer
    x = 139,771.53

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1.5x scale

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.