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Finding the Fourth Proportional to 188,402.24, 259,998.72 and 103,514.24

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Solution

The fourth proportional to 188,402.24, 259,998.72 and 103,514.24 is: 142,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,402.24 : 259,998.72 = 103,514.24 : x
  2. Step 2: Convert to fraction form
    188,402.24/259,998.72 = 103,514.24/x
  3. Step 3: Cross multiply
    188,402.24x = 259,998.72 × 103,514.24
  4. Step 4: Simplify right side
    188,402.24x = 26,913,569,901.77
  5. Step 5: Solve for x
    x = 26,913,569,901.77/188,402.24
  6. Step 6: Final answer
    x = 142,851.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.