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Finding the Fourth Proportional to 242,853.66, 364,322.61 and 74,370.02

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Solution

The fourth proportional to 242,853.66, 364,322.61 and 74,370.02 is: 111,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,853.66 : 364,322.61 = 74,370.02 : x
  2. Step 2: Convert to fraction form
    242,853.66/364,322.61 = 74,370.02/x
  3. Step 3: Cross multiply
    242,853.66x = 364,322.61 × 74,370.02
  4. Step 4: Simplify right side
    242,853.66x = 27,094,677,970.54
  5. Step 5: Solve for x
    x = 27,094,677,970.54/242,853.66
  6. Step 6: Final answer
    x = 111,567.92

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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.