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Finding the Fourth Proportional to 234,748, 323,968.98 and 132,774.40

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Solution

The fourth proportional to 234,748, 323,968.98 and 132,774.40 is: 183,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,748 : 323,968.98 = 132,774.40 : x
  2. Step 2: Convert to fraction form
    234,748/323,968.98 = 132,774.40/x
  3. Step 3: Cross multiply
    234,748x = 323,968.98 × 132,774.40
  4. Step 4: Simplify right side
    234,748x = 43,014,786,938.11
  5. Step 5: Solve for x
    x = 43,014,786,938.11/234,748
  6. Step 6: Final answer
    x = 183,238.14

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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.