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Finding the Fourth Proportional to 233,515.75, 322,252.10 and 132,913.75

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Solution

The fourth proportional to 233,515.75, 322,252.10 and 132,913.75 is: 183,421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,515.75 : 322,252.10 = 132,913.75 : x
  2. Step 2: Convert to fraction form
    233,515.75/322,252.10 = 132,913.75/x
  3. Step 3: Cross multiply
    233,515.75x = 322,252.10 × 132,913.75
  4. Step 4: Simplify right side
    233,515.75x = 42,831,735,056.38
  5. Step 5: Solve for x
    x = 42,831,735,056.38/233,515.75
  6. Step 6: Final answer
    x = 183,421.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.