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Finding the Fourth Proportional to 188,607.12, 282,943.43 and 76,282.80

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Solution

The fourth proportional to 188,607.12, 282,943.43 and 76,282.80 is: 114,437.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,607.12 : 282,943.43 = 76,282.80 : x
  2. Step 2: Convert to fraction form
    188,607.12/282,943.43 = 76,282.80/x
  3. Step 3: Cross multiply
    188,607.12x = 282,943.43 × 76,282.80
  4. Step 4: Simplify right side
    188,607.12x = 21,583,717,082.00
  5. Step 5: Solve for x
    x = 21,583,717,082.00/188,607.12
  6. Step 6: Final answer
    x = 114,437.45

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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.