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Finding the Fourth Proportional to 188,643.19, 283,009.74 and 55,527.79

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Solution

The fourth proportional to 188,643.19, 283,009.74 and 55,527.79 is: 83,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,643.19 : 283,009.74 = 55,527.79 : x
  2. Step 2: Convert to fraction form
    188,643.19/283,009.74 = 55,527.79/x
  3. Step 3: Cross multiply
    188,643.19x = 283,009.74 × 55,527.79
  4. Step 4: Simplify right side
    188,643.19x = 15,714,905,410.67
  5. Step 5: Solve for x
    x = 15,714,905,410.67/188,643.19
  6. Step 6: Final answer
    x = 83,304.92

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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.