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Finding the Fourth Proportional to 242,854.16, 364,323.36 and 74,370.52

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Solution

The fourth proportional to 242,854.16, 364,323.36 and 74,370.52 is: 111,568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,854.16 : 364,323.36 = 74,370.52 : x
  2. Step 2: Convert to fraction form
    242,854.16/364,323.36 = 74,370.52/x
  3. Step 3: Cross multiply
    242,854.16x = 364,323.36 × 74,370.52
  4. Step 4: Simplify right side
    242,854.16x = 27,094,915,909.73
  5. Step 5: Solve for x
    x = 27,094,915,909.73/242,854.16
  6. Step 6: Final answer
    x = 111,568.67

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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.