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Finding the Fourth Proportional to 233,026, 349,597.32 and 66,814

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Solution

The fourth proportional to 233,026, 349,597.32 and 66,814 is: 100,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,026 : 349,597.32 = 66,814 : x
  2. Step 2: Convert to fraction form
    233,026/349,597.32 = 66,814/x
  3. Step 3: Cross multiply
    233,026x = 349,597.32 × 66,814
  4. Step 4: Simplify right side
    233,026x = 23,357,995,338.48
  5. Step 5: Solve for x
    x = 23,357,995,338.48/233,026
  6. Step 6: Final answer
    x = 100,237.72

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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.