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Finding the Fourth Proportional to 312,152.97, 430,772.24 and 168,913.01

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Solution

The fourth proportional to 312,152.97, 430,772.24 and 168,913.01 is: 233,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,152.97 : 430,772.24 = 168,913.01 : x
  2. Step 2: Convert to fraction form
    312,152.97/430,772.24 = 168,913.01/x
  3. Step 3: Cross multiply
    312,152.97x = 430,772.24 × 168,913.01
  4. Step 4: Simplify right side
    312,152.97x = 72,763,035,682.84
  5. Step 5: Solve for x
    x = 72,763,035,682.84/312,152.97
  6. Step 6: Final answer
    x = 233,100.57

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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.