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Finding the Fourth Proportional to 240,954.93, 361,429.78 and 98,768.51

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Solution

The fourth proportional to 240,954.93, 361,429.78 and 98,768.51 is: 148,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,954.93 : 361,429.78 = 98,768.51 : x
  2. Step 2: Convert to fraction form
    240,954.93/361,429.78 = 98,768.51/x
  3. Step 3: Cross multiply
    240,954.93x = 361,429.78 × 98,768.51
  4. Step 4: Simplify right side
    240,954.93x = 35,697,880,840.23
  5. Step 5: Solve for x
    x = 35,697,880,840.23/240,954.93
  6. Step 6: Final answer
    x = 148,151.69

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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.