Home / 209,575.47-314,082.81-102,796.14

Finding the Fourth Proportional to 209,575.47, 314,082.81 and 102,796.14

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Solution

The fourth proportional to 209,575.47, 314,082.81 and 102,796.14 is: 154,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,575.47 : 314,082.81 = 102,796.14 : x
  2. Step 2: Convert to fraction form
    209,575.47/314,082.81 = 102,796.14/x
  3. Step 3: Cross multiply
    209,575.47x = 314,082.81 × 102,796.14
  4. Step 4: Simplify right side
    209,575.47x = 32,286,500,508.35
  5. Step 5: Solve for x
    x = 32,286,500,508.35/209,575.47
  6. Step 6: Final answer
    x = 154,056.68

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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.