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Finding the Fourth Proportional to 235,223.94, 324,602.72 and 138,433.49

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Solution

The fourth proportional to 235,223.94, 324,602.72 and 138,433.49 is: 191,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,223.94 : 324,602.72 = 138,433.49 : x
  2. Step 2: Convert to fraction form
    235,223.94/324,602.72 = 138,433.49/x
  3. Step 3: Cross multiply
    235,223.94x = 324,602.72 × 138,433.49
  4. Step 4: Simplify right side
    235,223.94x = 44,935,887,921.91
  5. Step 5: Solve for x
    x = 44,935,887,921.91/235,223.94
  6. Step 6: Final answer
    x = 191,034.50

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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.