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Finding the Fourth Proportional to 185,907.02, 256,553.25 and 101,024.06

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Solution

The fourth proportional to 185,907.02, 256,553.25 and 101,024.06 is: 139,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,907.02 : 256,553.25 = 101,024.06 : x
  2. Step 2: Convert to fraction form
    185,907.02/256,553.25 = 101,024.06/x
  3. Step 3: Cross multiply
    185,907.02x = 256,553.25 × 101,024.06
  4. Step 4: Simplify right side
    185,907.02x = 25,918,050,921.20
  5. Step 5: Solve for x
    x = 25,918,050,921.20/185,907.02
  6. Step 6: Final answer
    x = 139,414.05

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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.