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Finding the Fourth Proportional to 242,538.72, 363,808.10 and 92,824.93

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Solution

The fourth proportional to 242,538.72, 363,808.10 and 92,824.93 is: 139,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,538.72 : 363,808.10 = 92,824.93 : x
  2. Step 2: Convert to fraction form
    242,538.72/363,808.10 = 92,824.93/x
  3. Step 3: Cross multiply
    242,538.72x = 363,808.10 × 92,824.93
  4. Step 4: Simplify right side
    242,538.72x = 33,770,461,415.93
  5. Step 5: Solve for x
    x = 33,770,461,415.93/242,538.72
  6. Step 6: Final answer
    x = 139,237.40

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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.