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Finding the Fourth Proportional to 273,983, 378,098.76 and 153,129.38

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Solution

The fourth proportional to 273,983, 378,098.76 and 153,129.38 is: 211,319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,983 : 378,098.76 = 153,129.38 : x
  2. Step 2: Convert to fraction form
    273,983/378,098.76 = 153,129.38/x
  3. Step 3: Cross multiply
    273,983x = 378,098.76 × 153,129.38
  4. Step 4: Simplify right side
    273,983x = 57,898,028,697.57
  5. Step 5: Solve for x
    x = 57,898,028,697.57/273,983
  6. Step 6: Final answer
    x = 211,319.79

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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.