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Finding the Fourth Proportional to 234,109.84, 351,164.76 and 109,538.32

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Solution

The fourth proportional to 234,109.84, 351,164.76 and 109,538.32 is: 164,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,109.84 : 351,164.76 = 109,538.32 : x
  2. Step 2: Convert to fraction form
    234,109.84/351,164.76 = 109,538.32/x
  3. Step 3: Cross multiply
    234,109.84x = 351,164.76 × 109,538.32
  4. Step 4: Simplify right side
    234,109.84x = 38,465,997,853.60
  5. Step 5: Solve for x
    x = 38,465,997,853.60/234,109.84
  6. Step 6: Final answer
    x = 164,307.48

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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.