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Finding the Fourth Proportional to 257,905.80, 386,858.70 and 163,427.40

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Solution

The fourth proportional to 257,905.80, 386,858.70 and 163,427.40 is: 245,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,905.80 : 386,858.70 = 163,427.40 : x
  2. Step 2: Convert to fraction form
    257,905.80/386,858.70 = 163,427.40/x
  3. Step 3: Cross multiply
    257,905.80x = 386,858.70 × 163,427.40
  4. Step 4: Simplify right side
    257,905.80x = 63,223,311,508.38
  5. Step 5: Solve for x
    x = 63,223,311,508.38/257,905.80
  6. Step 6: Final answer
    x = 245,141.10

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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.