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Finding the Fourth Proportional to 204,948.84, 307,437.84 and 64,706.25

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Solution

The fourth proportional to 204,948.84, 307,437.84 and 64,706.25 is: 97,063.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,948.84 : 307,437.84 = 64,706.25 : x
  2. Step 2: Convert to fraction form
    204,948.84/307,437.84 = 64,706.25/x
  3. Step 3: Cross multiply
    204,948.84x = 307,437.84 × 64,706.25
  4. Step 4: Simplify right side
    204,948.84x = 19,893,149,734.50
  5. Step 5: Solve for x
    x = 19,893,149,734.50/204,948.84
  6. Step 6: Final answer
    x = 97,063.98

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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.