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Finding the Fourth Proportional to 234,977.76, 352,427.76 and 77,207.58

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Solution

The fourth proportional to 234,977.76, 352,427.76 and 77,207.58 is: 115,798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,977.76 : 352,427.76 = 77,207.58 : x
  2. Step 2: Convert to fraction form
    234,977.76/352,427.76 = 77,207.58/x
  3. Step 3: Cross multiply
    234,977.76x = 352,427.76 × 77,207.58
  4. Step 4: Simplify right side
    234,977.76x = 27,210,094,474.42
  5. Step 5: Solve for x
    x = 27,210,094,474.42/234,977.76
  6. Step 6: Final answer
    x = 115,798.60

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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.