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Finding the Fourth Proportional to 150,511.56, 207,689.04 and 86,870.40

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Solution

The fourth proportional to 150,511.56, 207,689.04 and 86,870.40 is: 119,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,511.56 : 207,689.04 = 86,870.40 : x
  2. Step 2: Convert to fraction form
    150,511.56/207,689.04 = 86,870.40/x
  3. Step 3: Cross multiply
    150,511.56x = 207,689.04 × 86,870.40
  4. Step 4: Simplify right side
    150,511.56x = 18,042,029,980.42
  5. Step 5: Solve for x
    x = 18,042,029,980.42/150,511.56
  6. Step 6: Final answer
    x = 119,871.39

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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.