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Finding the Fourth Proportional to 163,963.80, 245,945.70 and 51,658.20

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Solution

The fourth proportional to 163,963.80, 245,945.70 and 51,658.20 is: 77,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,963.80 : 245,945.70 = 51,658.20 : x
  2. Step 2: Convert to fraction form
    163,963.80/245,945.70 = 51,658.20/x
  3. Step 3: Cross multiply
    163,963.80x = 245,945.70 × 51,658.20
  4. Step 4: Simplify right side
    163,963.80x = 12,705,112,159.74
  5. Step 5: Solve for x
    x = 12,705,112,159.74/163,963.80
  6. Step 6: Final answer
    x = 77,487.30

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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.