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Finding the Fourth Proportional to 233,216.32, 349,826.44 and 64,749.78

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Solution

The fourth proportional to 233,216.32, 349,826.44 and 64,749.78 is: 97,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,216.32 : 349,826.44 = 64,749.78 : x
  2. Step 2: Convert to fraction form
    233,216.32/349,826.44 = 64,749.78/x
  3. Step 3: Cross multiply
    233,216.32x = 349,826.44 × 64,749.78
  4. Step 4: Simplify right side
    233,216.32x = 22,651,185,028.18
  5. Step 5: Solve for x
    x = 22,651,185,028.18/233,216.32
  6. Step 6: Final answer
    x = 97,125.21

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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.