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Finding the Fourth Proportional to 106,078.72, 146,389.15 and 58,335.16

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Solution

The fourth proportional to 106,078.72, 146,389.15 and 58,335.16 is: 80,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,078.72 : 146,389.15 = 58,335.16 : x
  2. Step 2: Convert to fraction form
    106,078.72/146,389.15 = 58,335.16/x
  3. Step 3: Cross multiply
    106,078.72x = 146,389.15 × 58,335.16
  4. Step 4: Simplify right side
    106,078.72x = 8,539,634,487.51
  5. Step 5: Solve for x
    x = 8,539,634,487.51/106,078.72
  6. Step 6: Final answer
    x = 80,502.80

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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.