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Finding the Fourth Proportional to 188,053.48, 282,106.54 and 54,943.48

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Solution

The fourth proportional to 188,053.48, 282,106.54 and 54,943.48 is: 82,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,053.48 : 282,106.54 = 54,943.48 : x
  2. Step 2: Convert to fraction form
    188,053.48/282,106.54 = 54,943.48/x
  3. Step 3: Cross multiply
    188,053.48x = 282,106.54 × 54,943.48
  4. Step 4: Simplify right side
    188,053.48x = 15,499,915,038.36
  5. Step 5: Solve for x
    x = 15,499,915,038.36/188,053.48
  6. Step 6: Final answer
    x = 82,422.91

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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.