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Finding the Fourth Proportional to 171,812.10, 257,656.40 and 59,461.84

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Solution

The fourth proportional to 171,812.10, 257,656.40 and 59,461.84 is: 89,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,812.10 : 257,656.40 = 59,461.84 : x
  2. Step 2: Convert to fraction form
    171,812.10/257,656.40 = 59,461.84/x
  3. Step 3: Cross multiply
    171,812.10x = 257,656.40 × 59,461.84
  4. Step 4: Simplify right side
    171,812.10x = 15,320,723,631.78
  5. Step 5: Solve for x
    x = 15,320,723,631.78/171,812.10
  6. Step 6: Final answer
    x = 89,171.39

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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.