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Finding the Fourth Proportional to 105,205, 145,187.22 and 60,493

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Solution

The fourth proportional to 105,205, 145,187.22 and 60,493 is: 83,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,205 : 145,187.22 = 60,493 : x
  2. Step 2: Convert to fraction form
    105,205/145,187.22 = 60,493/x
  3. Step 3: Cross multiply
    105,205x = 145,187.22 × 60,493
  4. Step 4: Simplify right side
    105,205x = 8,782,810,499.46
  5. Step 5: Solve for x
    x = 8,782,810,499.46/105,205
  6. Step 6: Final answer
    x = 83,482.82

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