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Finding the Fourth Proportional to 235,272.74, 324,678.43 and 127,842.77

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Solution

The fourth proportional to 235,272.74, 324,678.43 and 127,842.77 is: 176,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,272.74 : 324,678.43 = 127,842.77 : x
  2. Step 2: Convert to fraction form
    235,272.74/324,678.43 = 127,842.77/x
  3. Step 3: Cross multiply
    235,272.74x = 324,678.43 × 127,842.77
  4. Step 4: Simplify right side
    235,272.74x = 41,507,788,995.63
  5. Step 5: Solve for x
    x = 41,507,788,995.63/235,272.74
  6. Step 6: Final answer
    x = 176,424.14

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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.