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Finding the Fourth Proportional to 169,965.64, 254,948.94 and 51,637.96

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Solution

The fourth proportional to 169,965.64, 254,948.94 and 51,637.96 is: 77,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,965.64 : 254,948.94 = 51,637.96 : x
  2. Step 2: Convert to fraction form
    169,965.64/254,948.94 = 51,637.96/x
  3. Step 3: Cross multiply
    169,965.64x = 254,948.94 × 51,637.96
  4. Step 4: Simplify right side
    169,965.64x = 13,165,043,165.76
  5. Step 5: Solve for x
    x = 13,165,043,165.76/169,965.64
  6. Step 6: Final answer
    x = 77,457.09

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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.