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Finding the Fourth Proportional to 206,870.10, 310,341.60 and 73,827.60

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Solution

The fourth proportional to 206,870.10, 310,341.60 and 73,827.60 is: 110,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,870.10 : 310,341.60 = 73,827.60 : x
  2. Step 2: Convert to fraction form
    206,870.10/310,341.60 = 73,827.60/x
  3. Step 3: Cross multiply
    206,870.10x = 310,341.60 × 73,827.60
  4. Step 4: Simplify right side
    206,870.10x = 22,911,775,508.16
  5. Step 5: Solve for x
    x = 22,911,775,508.16/206,870.10
  6. Step 6: Final answer
    x = 110,754.41

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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.