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Finding the Fourth Proportional to 105,308.26, 157,970.55 and 35,187.82

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Solution

The fourth proportional to 105,308.26, 157,970.55 and 35,187.82 is: 52,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,308.26 : 157,970.55 = 35,187.82 : x
  2. Step 2: Convert to fraction form
    105,308.26/157,970.55 = 35,187.82/x
  3. Step 3: Cross multiply
    105,308.26x = 157,970.55 × 35,187.82
  4. Step 4: Simplify right side
    105,308.26x = 5,558,639,278.70
  5. Step 5: Solve for x
    x = 5,558,639,278.70/105,308.26
  6. Step 6: Final answer
    x = 52,784.46

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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.