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Finding the Fourth Proportional to 219,015.74, 302,241.30 and 123,522.14

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Solution

The fourth proportional to 219,015.74, 302,241.30 and 123,522.14 is: 170,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,015.74 : 302,241.30 = 123,522.14 : x
  2. Step 2: Convert to fraction form
    219,015.74/302,241.30 = 123,522.14/x
  3. Step 3: Cross multiply
    219,015.74x = 302,241.30 × 123,522.14
  4. Step 4: Simplify right side
    219,015.74x = 37,333,492,172.38
  5. Step 5: Solve for x
    x = 37,333,492,172.38/219,015.74
  6. Step 6: Final answer
    x = 170,460.32

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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.