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Finding the Fourth Proportional to 242,688.96, 364,020.48 and 76,464

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Solution

The fourth proportional to 242,688.96, 364,020.48 and 76,464 is: 114,691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,688.96 : 364,020.48 = 76,464 : x
  2. Step 2: Convert to fraction form
    242,688.96/364,020.48 = 76,464/x
  3. Step 3: Cross multiply
    242,688.96x = 364,020.48 × 76,464
  4. Step 4: Simplify right side
    242,688.96x = 27,834,461,982.72
  5. Step 5: Solve for x
    x = 27,834,461,982.72/242,688.96
  6. Step 6: Final answer
    x = 114,691.92

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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.