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Finding the Fourth Proportional to 282,809.64, 424,287.36 and 83,136.54

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Solution

The fourth proportional to 282,809.64, 424,287.36 and 83,136.54 is: 124,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,809.64 : 424,287.36 = 83,136.54 : x
  2. Step 2: Convert to fraction form
    282,809.64/424,287.36 = 83,136.54/x
  3. Step 3: Cross multiply
    282,809.64x = 424,287.36 × 83,136.54
  4. Step 4: Simplify right side
    282,809.64x = 35,273,783,076.13
  5. Step 5: Solve for x
    x = 35,273,783,076.13/282,809.64
  6. Step 6: Final answer
    x = 124,726.24

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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.