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Finding the Fourth Proportional to 243,106.16, 364,631.89 and 93,241.31

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Solution

The fourth proportional to 243,106.16, 364,631.89 and 93,241.31 is: 139,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,106.16 : 364,631.89 = 93,241.31 : x
  2. Step 2: Convert to fraction form
    243,106.16/364,631.89 = 93,241.31/x
  3. Step 3: Cross multiply
    243,106.16x = 364,631.89 × 93,241.31
  4. Step 4: Simplify right side
    243,106.16x = 33,998,753,035.11
  5. Step 5: Solve for x
    x = 33,998,753,035.11/243,106.16
  6. Step 6: Final answer
    x = 139,851.47

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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.