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Finding the Fourth Proportional to 265,866.54, 398,575.64 and 115,996.90

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Solution

The fourth proportional to 265,866.54, 398,575.64 and 115,996.90 is: 173,897.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,866.54 : 398,575.64 = 115,996.90 : x
  2. Step 2: Convert to fraction form
    265,866.54/398,575.64 = 115,996.90/x
  3. Step 3: Cross multiply
    265,866.54x = 398,575.64 × 115,996.90
  4. Step 4: Simplify right side
    265,866.54x = 46,233,538,075.53
  5. Step 5: Solve for x
    x = 46,233,538,075.53/265,866.54
  6. Step 6: Final answer
    x = 173,897.55

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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.