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Finding the Fourth Proportional to 242,854.76, 364,362.81 and 107,900.05

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Solution

The fourth proportional to 242,854.76, 364,362.81 and 107,900.05 is: 161,885.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,854.76 : 364,362.81 = 107,900.05 : x
  2. Step 2: Convert to fraction form
    242,854.76/364,362.81 = 107,900.05/x
  3. Step 3: Cross multiply
    242,854.76x = 364,362.81 × 107,900.05
  4. Step 4: Simplify right side
    242,854.76x = 39,314,764,784.79
  5. Step 5: Solve for x
    x = 39,314,764,784.79/242,854.76
  6. Step 6: Final answer
    x = 161,885.92

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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.