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Finding the Fourth Proportional to 252,036.24, 347,810.04 and 138,858

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Solution

The fourth proportional to 252,036.24, 347,810.04 and 138,858 is: 191,624.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,036.24 : 347,810.04 = 138,858 : x
  2. Step 2: Convert to fraction form
    252,036.24/347,810.04 = 138,858/x
  3. Step 3: Cross multiply
    252,036.24x = 347,810.04 × 138,858
  4. Step 4: Simplify right side
    252,036.24x = 48,296,206,534.32
  5. Step 5: Solve for x
    x = 48,296,206,534.32/252,036.24
  6. Step 6: Final answer
    x = 191,624.06

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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.