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Finding the Fourth Proportional to 105,453.39, 158,200.14 and 38,898.74

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Solution

The fourth proportional to 105,453.39, 158,200.14 and 38,898.74 is: 58,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,453.39 : 158,200.14 = 38,898.74 : x
  2. Step 2: Convert to fraction form
    105,453.39/158,200.14 = 38,898.74/x
  3. Step 3: Cross multiply
    105,453.39x = 158,200.14 × 38,898.74
  4. Step 4: Simplify right side
    105,453.39x = 6,153,785,322.82
  5. Step 5: Solve for x
    x = 6,153,785,322.82/105,453.39
  6. Step 6: Final answer
    x = 58,355.50

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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.