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Finding the Fourth Proportional to 188,345.81, 282,514.84 and 55,223.12

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Solution

The fourth proportional to 188,345.81, 282,514.84 and 55,223.12 is: 82,833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,345.81 : 282,514.84 = 55,223.12 : x
  2. Step 2: Convert to fraction form
    188,345.81/282,514.84 = 55,223.12/x
  3. Step 3: Cross multiply
    188,345.81x = 282,514.84 × 55,223.12
  4. Step 4: Simplify right side
    188,345.81x = 15,601,349,890.18
  5. Step 5: Solve for x
    x = 15,601,349,890.18/188,345.81
  6. Step 6: Final answer
    x = 82,833.54

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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.