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Finding the Fourth Proportional to 198,854.69, 274,419.51 and 109,430.69

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Solution

The fourth proportional to 198,854.69, 274,419.51 and 109,430.69 is: 151,014.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,854.69 : 274,419.51 = 109,430.69 : x
  2. Step 2: Convert to fraction form
    198,854.69/274,419.51 = 109,430.69/x
  3. Step 3: Cross multiply
    198,854.69x = 274,419.51 × 109,430.69
  4. Step 4: Simplify right side
    198,854.69x = 30,029,916,328.76
  5. Step 5: Solve for x
    x = 30,029,916,328.76/198,854.69
  6. Step 6: Final answer
    x = 151,014.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.