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Finding the Fourth Proportional to 169,841.28, 254,762.52 and 51,513.64

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Solution

The fourth proportional to 169,841.28, 254,762.52 and 51,513.64 is: 77,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,841.28 : 254,762.52 = 51,513.64 : x
  2. Step 2: Convert to fraction form
    169,841.28/254,762.52 = 51,513.64/x
  3. Step 3: Cross multiply
    169,841.28x = 254,762.52 × 51,513.64
  4. Step 4: Simplify right side
    169,841.28x = 13,123,744,740.77
  5. Step 5: Solve for x
    x = 13,123,744,740.77/169,841.28
  6. Step 6: Final answer
    x = 77,270.64

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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.