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Finding the Fourth Proportional to 234,509.47, 323,621.81 and 127,076.74

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Solution

The fourth proportional to 234,509.47, 323,621.81 and 127,076.74 is: 175,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,509.47 : 323,621.81 = 127,076.74 : x
  2. Step 2: Convert to fraction form
    234,509.47/323,621.81 = 127,076.74/x
  3. Step 3: Cross multiply
    234,509.47x = 323,621.81 × 127,076.74
  4. Step 4: Simplify right side
    234,509.47x = 41,124,803,972.32
  5. Step 5: Solve for x
    x = 41,124,803,972.32/234,509.47
  6. Step 6: Final answer
    x = 175,365.22

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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.