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Finding the Fourth Proportional to 217,386.84, 325,915.94 and 142,525.82

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Solution

The fourth proportional to 217,386.84, 325,915.94 and 142,525.82 is: 213,681.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,386.84 : 325,915.94 = 142,525.82 : x
  2. Step 2: Convert to fraction form
    217,386.84/325,915.94 = 142,525.82/x
  3. Step 3: Cross multiply
    217,386.84x = 325,915.94 × 142,525.82
  4. Step 4: Simplify right side
    217,386.84x = 46,451,436,599.57
  5. Step 5: Solve for x
    x = 46,451,436,599.57/217,386.84
  6. Step 6: Final answer
    x = 213,681.00

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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.