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Finding the Fourth Proportional to 171,457.38, 257,198.40 and 59,136

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Solution

The fourth proportional to 171,457.38, 257,198.40 and 59,136 is: 88,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,457.38 : 257,198.40 = 59,136 : x
  2. Step 2: Convert to fraction form
    171,457.38/257,198.40 = 59,136/x
  3. Step 3: Cross multiply
    171,457.38x = 257,198.40 × 59,136
  4. Step 4: Simplify right side
    171,457.38x = 15,209,684,582.40
  5. Step 5: Solve for x
    x = 15,209,684,582.40/171,457.38
  6. Step 6: Final answer
    x = 88,708.25

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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.