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Finding the Fourth Proportional to 105,292.66, 157,881.15 and 51,867.08

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Solution

The fourth proportional to 105,292.66, 157,881.15 and 51,867.08 is: 77,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,292.66 : 157,881.15 = 51,867.08 : x
  2. Step 2: Convert to fraction form
    105,292.66/157,881.15 = 51,867.08/x
  3. Step 3: Cross multiply
    105,292.66x = 157,881.15 × 51,867.08
  4. Step 4: Simplify right side
    105,292.66x = 8,188,834,339.07
  5. Step 5: Solve for x
    x = 8,188,834,339.07/105,292.66
  6. Step 6: Final answer
    x = 77,772.13

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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.