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Finding the Fourth Proportional to 160,963, 241,240.98 and 140,923.41

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Solution

The fourth proportional to 160,963, 241,240.98 and 140,923.41 is: 211,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,963 : 241,240.98 = 140,923.41 : x
  2. Step 2: Convert to fraction form
    160,963/241,240.98 = 140,923.41/x
  3. Step 3: Cross multiply
    160,963x = 241,240.98 × 140,923.41
  4. Step 4: Simplify right side
    160,963x = 33,996,501,533.34
  5. Step 5: Solve for x
    x = 33,996,501,533.34/160,963
  6. Step 6: Final answer
    x = 211,206.93

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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.