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Finding the Fourth Proportional to 233,216.44, 349,849.67 and 64,737.48

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Solution

The fourth proportional to 233,216.44, 349,849.67 and 64,737.48 is: 97,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,216.44 : 349,849.67 = 64,737.48 : x
  2. Step 2: Convert to fraction form
    233,216.44/349,849.67 = 64,737.48/x
  3. Step 3: Cross multiply
    233,216.44x = 349,849.67 × 64,737.48
  4. Step 4: Simplify right side
    233,216.44x = 22,648,386,014.63
  5. Step 5: Solve for x
    x = 22,648,386,014.63/233,216.44
  6. Step 6: Final answer
    x = 97,113.16

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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.