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Finding the Fourth Proportional to 242,656.58, 364,038.35 and 74,189.86

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Solution

The fourth proportional to 242,656.58, 364,038.35 and 74,189.86 is: 111,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,656.58 : 364,038.35 = 74,189.86 : x
  2. Step 2: Convert to fraction form
    242,656.58/364,038.35 = 74,189.86/x
  3. Step 3: Cross multiply
    242,656.58x = 364,038.35 × 74,189.86
  4. Step 4: Simplify right side
    242,656.58x = 27,007,952,940.09
  5. Step 5: Solve for x
    x = 27,007,952,940.09/242,656.58
  6. Step 6: Final answer
    x = 111,301.13

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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.