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Finding the Fourth Proportional to 209,706.74, 314,695.44 and 76,575.85

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Solution

The fourth proportional to 209,706.74, 314,695.44 and 76,575.85 is: 114,913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,706.74 : 314,695.44 = 76,575.85 : x
  2. Step 2: Convert to fraction form
    209,706.74/314,695.44 = 76,575.85/x
  3. Step 3: Cross multiply
    209,706.74x = 314,695.44 × 76,575.85
  4. Step 4: Simplify right side
    209,706.74x = 24,098,070,809.12
  5. Step 5: Solve for x
    x = 24,098,070,809.12/209,706.74
  6. Step 6: Final answer
    x = 114,913.19

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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.