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Finding the Fourth Proportional to 150,156, 207,215.28 and 83,098.08

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Solution

The fourth proportional to 150,156, 207,215.28 and 83,098.08 is: 114,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,156 : 207,215.28 = 83,098.08 : x
  2. Step 2: Convert to fraction form
    150,156/207,215.28 = 83,098.08/x
  3. Step 3: Cross multiply
    150,156x = 207,215.28 × 83,098.08
  4. Step 4: Simplify right side
    150,156x = 17,219,191,914.66
  5. Step 5: Solve for x
    x = 17,219,191,914.66/150,156
  6. Step 6: Final answer
    x = 114,675.35

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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.