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Finding the Fourth Proportional to 234,929.24, 352,390.71 and 57,437.78

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Solution

The fourth proportional to 234,929.24, 352,390.71 and 57,437.78 is: 86,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,929.24 : 352,390.71 = 57,437.78 : x
  2. Step 2: Convert to fraction form
    234,929.24/352,390.71 = 57,437.78/x
  3. Step 3: Cross multiply
    234,929.24x = 352,390.71 × 57,437.78
  4. Step 4: Simplify right side
    234,929.24x = 20,240,540,075.02
  5. Step 5: Solve for x
    x = 20,240,540,075.02/234,929.24
  6. Step 6: Final answer
    x = 86,155.90

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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.