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Finding the Fourth Proportional to 164,718.40, 247,077.60 and 98,233.60

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Solution

The fourth proportional to 164,718.40, 247,077.60 and 98,233.60 is: 147,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,718.40 : 247,077.60 = 98,233.60 : x
  2. Step 2: Convert to fraction form
    164,718.40/247,077.60 = 98,233.60/x
  3. Step 3: Cross multiply
    164,718.40x = 247,077.60 × 98,233.60
  4. Step 4: Simplify right side
    164,718.40x = 24,271,322,127.36
  5. Step 5: Solve for x
    x = 24,271,322,127.36/164,718.40
  6. Step 6: Final answer
    x = 147,350.40

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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.