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Finding the Fourth Proportional to 204,955.97, 307,425.22 and 70,032.16

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Solution

The fourth proportional to 204,955.97, 307,425.22 and 70,032.16 is: 105,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,955.97 : 307,425.22 = 70,032.16 : x
  2. Step 2: Convert to fraction form
    204,955.97/307,425.22 = 70,032.16/x
  3. Step 3: Cross multiply
    204,955.97x = 307,425.22 × 70,032.16
  4. Step 4: Simplify right side
    204,955.97x = 21,529,651,068.94
  5. Step 5: Solve for x
    x = 21,529,651,068.94/204,955.97
  6. Step 6: Final answer
    x = 105,045.25

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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.