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Finding the Fourth Proportional to 171,523.40, 257,285.10 and 53,206.70

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Solution

The fourth proportional to 171,523.40, 257,285.10 and 53,206.70 is: 79,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,523.40 : 257,285.10 = 53,206.70 : x
  2. Step 2: Convert to fraction form
    171,523.40/257,285.10 = 53,206.70/x
  3. Step 3: Cross multiply
    171,523.40x = 257,285.10 × 53,206.70
  4. Step 4: Simplify right side
    171,523.40x = 13,689,291,130.17
  5. Step 5: Solve for x
    x = 13,689,291,130.17/171,523.40
  6. Step 6: Final answer
    x = 79,810.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.