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Finding the Fourth Proportional to 228,219.92, 342,334.56 and 70,448.48

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Solution

The fourth proportional to 228,219.92, 342,334.56 and 70,448.48 is: 105,674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,219.92 : 342,334.56 = 70,448.48 : x
  2. Step 2: Convert to fraction form
    228,219.92/342,334.56 = 70,448.48/x
  3. Step 3: Cross multiply
    228,219.92x = 342,334.56 × 70,448.48
  4. Step 4: Simplify right side
    228,219.92x = 24,116,949,403.47
  5. Step 5: Solve for x
    x = 24,116,949,403.47/228,219.92
  6. Step 6: Final answer
    x = 105,674.16

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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.