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Finding the Fourth Proportional to 105,461.40, 145,514.22 and 62,454.41

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Solution

The fourth proportional to 105,461.40, 145,514.22 and 62,454.41 is: 86,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,461.40 : 145,514.22 = 62,454.41 : x
  2. Step 2: Convert to fraction form
    105,461.40/145,514.22 = 62,454.41/x
  3. Step 3: Cross multiply
    105,461.40x = 145,514.22 × 62,454.41
  4. Step 4: Simplify right side
    105,461.40x = 9,088,004,029.14
  5. Step 5: Solve for x
    x = 9,088,004,029.14/105,461.40
  6. Step 6: Final answer
    x = 86,173.75

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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.