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Finding the Fourth Proportional to 233,109.90, 349,599.24 and 64,589.40

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Solution

The fourth proportional to 233,109.90, 349,599.24 and 64,589.40 is: 96,865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,109.90 : 349,599.24 = 64,589.40 : x
  2. Step 2: Convert to fraction form
    233,109.90/349,599.24 = 64,589.40/x
  3. Step 3: Cross multiply
    233,109.90x = 349,599.24 × 64,589.40
  4. Step 4: Simplify right side
    233,109.90x = 22,580,405,152.06
  5. Step 5: Solve for x
    x = 22,580,405,152.06/233,109.90
  6. Step 6: Final answer
    x = 96,865.92

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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.