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Finding the Fourth Proportional to 233,093.02, 349,604.92 and 64,595.78

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Solution

The fourth proportional to 233,093.02, 349,604.92 and 64,595.78 is: 96,884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,093.02 : 349,604.92 = 64,595.78 : x
  2. Step 2: Convert to fraction form
    233,093.02/349,604.92 = 64,595.78/x
  3. Step 3: Cross multiply
    233,093.02x = 349,604.92 × 64,595.78
  4. Step 4: Simplify right side
    233,093.02x = 22,583,000,428.23
  5. Step 5: Solve for x
    x = 22,583,000,428.23/233,093.02
  6. Step 6: Final answer
    x = 96,884.07

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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.