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Finding the Fourth Proportional to 171,823.30, 257,673.14 and 59,473

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Solution

The fourth proportional to 171,823.30, 257,673.14 and 59,473 is: 89,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,823.30 : 257,673.14 = 59,473 : x
  2. Step 2: Convert to fraction form
    171,823.30/257,673.14 = 59,473/x
  3. Step 3: Cross multiply
    171,823.30x = 257,673.14 × 59,473
  4. Step 4: Simplify right side
    171,823.30x = 15,324,594,655.22
  5. Step 5: Solve for x
    x = 15,324,594,655.22/171,823.30
  6. Step 6: Final answer
    x = 89,188.11

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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.