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Finding the Fourth Proportional to 262,076, 361,665.04 and 142,844

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Solution

The fourth proportional to 262,076, 361,665.04 and 142,844 is: 197,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,076 : 361,665.04 = 142,844 : x
  2. Step 2: Convert to fraction form
    262,076/361,665.04 = 142,844/x
  3. Step 3: Cross multiply
    262,076x = 361,665.04 × 142,844
  4. Step 4: Simplify right side
    262,076x = 51,661,680,973.76
  5. Step 5: Solve for x
    x = 51,661,680,973.76/262,076
  6. Step 6: Final answer
    x = 197,124.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.