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Finding the Fourth Proportional to 105,293.16, 157,881.90 and 51,867.58

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Solution

The fourth proportional to 105,293.16, 157,881.90 and 51,867.58 is: 77,772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,293.16 : 157,881.90 = 51,867.58 : x
  2. Step 2: Convert to fraction form
    105,293.16/157,881.90 = 51,867.58/x
  3. Step 3: Cross multiply
    105,293.16x = 157,881.90 × 51,867.58
  4. Step 4: Simplify right side
    105,293.16x = 8,188,952,214.17
  5. Step 5: Solve for x
    x = 8,188,952,214.17/105,293.16
  6. Step 6: Final answer
    x = 77,772.88

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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.