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Finding the Fourth Proportional to 205,415.40, 308,123.10 and 57,671.40

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Solution

The fourth proportional to 205,415.40, 308,123.10 and 57,671.40 is: 86,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,415.40 : 308,123.10 = 57,671.40 : x
  2. Step 2: Convert to fraction form
    205,415.40/308,123.10 = 57,671.40/x
  3. Step 3: Cross multiply
    205,415.40x = 308,123.10 × 57,671.40
  4. Step 4: Simplify right side
    205,415.40x = 17,769,890,549.34
  5. Step 5: Solve for x
    x = 17,769,890,549.34/205,415.40
  6. Step 6: Final answer
    x = 86,507.10

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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.