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Finding the Fourth Proportional to 209,627.82, 314,444.16 and 89,668.44

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Solution

The fourth proportional to 209,627.82, 314,444.16 and 89,668.44 is: 134,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,627.82 : 314,444.16 = 89,668.44 : x
  2. Step 2: Convert to fraction form
    209,627.82/314,444.16 = 89,668.44/x
  3. Step 3: Cross multiply
    209,627.82x = 314,444.16 × 89,668.44
  4. Step 4: Simplify right side
    209,627.82x = 28,195,717,294.31
  5. Step 5: Solve for x
    x = 28,195,717,294.31/209,627.82
  6. Step 6: Final answer
    x = 134,503.70

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1.5x scale

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.