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Finding the Fourth Proportional to 171,382.23, 257,070.60 and 46,723.23

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Solution

The fourth proportional to 171,382.23, 257,070.60 and 46,723.23 is: 70,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,382.23 : 257,070.60 = 46,723.23 : x
  2. Step 2: Convert to fraction form
    171,382.23/257,070.60 = 46,723.23/x
  3. Step 3: Cross multiply
    171,382.23x = 257,070.60 × 46,723.23
  4. Step 4: Simplify right side
    171,382.23x = 12,011,168,770.04
  5. Step 5: Solve for x
    x = 12,011,168,770.04/171,382.23
  6. Step 6: Final answer
    x = 70,084.10

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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.