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Finding the Fourth Proportional to 188,642.19, 283,008.24 and 55,526.79

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Solution

The fourth proportional to 188,642.19, 283,008.24 and 55,526.79 is: 83,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,642.19 : 283,008.24 = 55,526.79 : x
  2. Step 2: Convert to fraction form
    188,642.19/283,008.24 = 55,526.79/x
  3. Step 3: Cross multiply
    188,642.19x = 283,008.24 × 55,526.79
  4. Step 4: Simplify right side
    188,642.19x = 15,714,539,110.75
  5. Step 5: Solve for x
    x = 15,714,539,110.75/188,642.19
  6. Step 6: Final answer
    x = 83,303.42

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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.