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Finding the Fourth Proportional to 171,102.63, 256,681.62 and 52,746.29

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Solution

The fourth proportional to 171,102.63, 256,681.62 and 52,746.29 is: 79,127.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,102.63 : 256,681.62 = 52,746.29 : x
  2. Step 2: Convert to fraction form
    171,102.63/256,681.62 = 52,746.29/x
  3. Step 3: Cross multiply
    171,102.63x = 256,681.62 × 52,746.29
  4. Step 4: Simplify right side
    171,102.63x = 13,539,003,166.19
  5. Step 5: Solve for x
    x = 13,539,003,166.19/171,102.63
  6. Step 6: Final answer
    x = 79,127.97

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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.