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Finding the Fourth Proportional to 171,559, 257,338.50 and 46,900

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Solution

The fourth proportional to 171,559, 257,338.50 and 46,900 is: 70,350

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,559 : 257,338.50 = 46,900 : x
  2. Step 2: Convert to fraction form
    171,559/257,338.50 = 46,900/x
  3. Step 3: Cross multiply
    171,559x = 257,338.50 × 46,900
  4. Step 4: Simplify right side
    171,559x = 12,069,175,650
  5. Step 5: Solve for x
    x = 12,069,175,650/171,559
  6. Step 6: Final answer
    x = 70,350

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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.