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Finding the Fourth Proportional to 209,937.32, 289,705.22 and 114,441.96

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Solution

The fourth proportional to 209,937.32, 289,705.22 and 114,441.96 is: 157,925.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,937.32 : 289,705.22 = 114,441.96 : x
  2. Step 2: Convert to fraction form
    209,937.32/289,705.22 = 114,441.96/x
  3. Step 3: Cross multiply
    209,937.32x = 289,705.22 × 114,441.96
  4. Step 4: Simplify right side
    209,937.32x = 33,154,433,199.03
  5. Step 5: Solve for x
    x = 33,154,433,199.03/209,937.32
  6. Step 6: Final answer
    x = 157,925.39

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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.