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Finding the Fourth Proportional to 247,904.64, 342,109.44 and 147,300.48

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Solution

The fourth proportional to 247,904.64, 342,109.44 and 147,300.48 is: 203,275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,904.64 : 342,109.44 = 147,300.48 : x
  2. Step 2: Convert to fraction form
    247,904.64/342,109.44 = 147,300.48/x
  3. Step 3: Cross multiply
    247,904.64x = 342,109.44 × 147,300.48
  4. Step 4: Simplify right side
    247,904.64x = 50,392,884,724.53
  5. Step 5: Solve for x
    x = 50,392,884,724.53/247,904.64
  6. Step 6: Final answer
    x = 203,275.28

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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.