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Finding the Fourth Proportional to 224,507.72, 309,820.02 and 123,905

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Solution

The fourth proportional to 224,507.72, 309,820.02 and 123,905 is: 170,988.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,507.72 : 309,820.02 = 123,905 : x
  2. Step 2: Convert to fraction form
    224,507.72/309,820.02 = 123,905/x
  3. Step 3: Cross multiply
    224,507.72x = 309,820.02 × 123,905
  4. Step 4: Simplify right side
    224,507.72x = 38,388,249,578.10
  5. Step 5: Solve for x
    x = 38,388,249,578.10/224,507.72
  6. Step 6: Final answer
    x = 170,988.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.