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Finding the Fourth Proportional to 207,141.64, 310,719.34 and 57,383.44

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Solution

The fourth proportional to 207,141.64, 310,719.34 and 57,383.44 is: 86,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,141.64 : 310,719.34 = 57,383.44 : x
  2. Step 2: Convert to fraction form
    207,141.64/310,719.34 = 57,383.44/x
  3. Step 3: Cross multiply
    207,141.64x = 310,719.34 × 57,383.44
  4. Step 4: Simplify right side
    207,141.64x = 17,830,144,603.73
  5. Step 5: Solve for x
    x = 17,830,144,603.73/207,141.64
  6. Step 6: Final answer
    x = 86,077.07

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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.