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Finding the Fourth Proportional to 187,563.98, 258,841.50 and 115,942.16

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Solution

The fourth proportional to 187,563.98, 258,841.50 and 115,942.16 is: 160,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,563.98 : 258,841.50 = 115,942.16 : x
  2. Step 2: Convert to fraction form
    187,563.98/258,841.50 = 115,942.16/x
  3. Step 3: Cross multiply
    187,563.98x = 258,841.50 × 115,942.16
  4. Step 4: Simplify right side
    187,563.98x = 30,010,642,607.64
  5. Step 5: Solve for x
    x = 30,010,642,607.64/187,563.98
  6. Step 6: Final answer
    x = 160,002.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.