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Finding the Fourth Proportional to 233,503.47, 350,356.98 and 81,809.37

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Solution

The fourth proportional to 233,503.47, 350,356.98 and 81,809.37 is: 122,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,503.47 : 350,356.98 = 81,809.37 : x
  2. Step 2: Convert to fraction form
    233,503.47/350,356.98 = 81,809.37/x
  3. Step 3: Cross multiply
    233,503.47x = 350,356.98 × 81,809.37
  4. Step 4: Simplify right side
    233,503.47x = 28,662,483,808.90
  5. Step 5: Solve for x
    x = 28,662,483,808.90/233,503.47
  6. Step 6: Final answer
    x = 122,749.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.