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Finding the Fourth Proportional to 163,965.42, 245,957.01 and 51,654.48

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Solution

The fourth proportional to 163,965.42, 245,957.01 and 51,654.48 is: 77,484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,965.42 : 245,957.01 = 51,654.48 : x
  2. Step 2: Convert to fraction form
    163,965.42/245,957.01 = 51,654.48/x
  3. Step 3: Cross multiply
    163,965.42x = 245,957.01 × 51,654.48
  4. Step 4: Simplify right side
    163,965.42x = 12,704,781,453.90
  5. Step 5: Solve for x
    x = 12,704,781,453.90/163,965.42
  6. Step 6: Final answer
    x = 77,484.52

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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.