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Finding the Fourth Proportional to 98,894.87, 148,346.40 and 28,774.18

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Solution

The fourth proportional to 98,894.87, 148,346.40 and 28,774.18 is: 43,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,894.87 : 148,346.40 = 28,774.18 : x
  2. Step 2: Convert to fraction form
    98,894.87/148,346.40 = 28,774.18/x
  3. Step 3: Cross multiply
    98,894.87x = 148,346.40 × 28,774.18
  4. Step 4: Simplify right side
    98,894.87x = 4,268,545,645.09
  5. Step 5: Solve for x
    x = 4,268,545,645.09/98,894.87
  6. Step 6: Final answer
    x = 43,162.46

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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.