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Finding the Fourth Proportional to 103,406.40, 142,714.26 and 63,111.78

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Solution

The fourth proportional to 103,406.40, 142,714.26 and 63,111.78 is: 87,102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,406.40 : 142,714.26 = 63,111.78 : x
  2. Step 2: Convert to fraction form
    103,406.40/142,714.26 = 63,111.78/x
  3. Step 3: Cross multiply
    103,406.40x = 142,714.26 × 63,111.78
  4. Step 4: Simplify right side
    103,406.40x = 9,006,950,979.98
  5. Step 5: Solve for x
    x = 9,006,950,979.98/103,406.40
  6. Step 6: Final answer
    x = 87,102.45

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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.