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Finding the Fourth Proportional to 214,935.30, 322,402.95 and 83,607.30

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Solution

The fourth proportional to 214,935.30, 322,402.95 and 83,607.30 is: 125,410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,935.30 : 322,402.95 = 83,607.30 : x
  2. Step 2: Convert to fraction form
    214,935.30/322,402.95 = 83,607.30/x
  3. Step 3: Cross multiply
    214,935.30x = 322,402.95 × 83,607.30
  4. Step 4: Simplify right side
    214,935.30x = 26,955,240,161.54
  5. Step 5: Solve for x
    x = 26,955,240,161.54/214,935.30
  6. Step 6: Final answer
    x = 125,410.95

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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.