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Finding the Fourth Proportional to 233,187.75, 349,742.49 and 64,725.19

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Solution

The fourth proportional to 233,187.75, 349,742.49 and 64,725.19 is: 97,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,187.75 : 349,742.49 = 64,725.19 : x
  2. Step 2: Convert to fraction form
    233,187.75/349,742.49 = 64,725.19/x
  3. Step 3: Cross multiply
    233,187.75x = 349,742.49 × 64,725.19
  4. Step 4: Simplify right side
    233,187.75x = 22,637,149,116.32
  5. Step 5: Solve for x
    x = 22,637,149,116.32/233,187.75
  6. Step 6: Final answer
    x = 97,076.92

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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.