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Finding the Fourth Proportional to 153,684, 212,083.92 and 83,028

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Solution

The fourth proportional to 153,684, 212,083.92 and 83,028 is: 114,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,684 : 212,083.92 = 83,028 : x
  2. Step 2: Convert to fraction form
    153,684/212,083.92 = 83,028/x
  3. Step 3: Cross multiply
    153,684x = 212,083.92 × 83,028
  4. Step 4: Simplify right side
    153,684x = 17,608,903,709.76
  5. Step 5: Solve for x
    x = 17,608,903,709.76/153,684
  6. Step 6: Final answer
    x = 114,578.64

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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.