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Finding the Fourth Proportional to 97,963, 135,188.94 and 58,219

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Solution

The fourth proportional to 97,963, 135,188.94 and 58,219 is: 80,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,963 : 135,188.94 = 58,219 : x
  2. Step 2: Convert to fraction form
    97,963/135,188.94 = 58,219/x
  3. Step 3: Cross multiply
    97,963x = 135,188.94 × 58,219
  4. Step 4: Simplify right side
    97,963x = 7,870,564,897.86
  5. Step 5: Solve for x
    x = 7,870,564,897.86/97,963
  6. Step 6: Final answer
    x = 80,342.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.