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Finding the Fourth Proportional to 105,877.57, 146,111.34 and 58,134.01

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Solution

The fourth proportional to 105,877.57, 146,111.34 and 58,134.01 is: 80,225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,877.57 : 146,111.34 = 58,134.01 : x
  2. Step 2: Convert to fraction form
    105,877.57/146,111.34 = 58,134.01/x
  3. Step 3: Cross multiply
    105,877.57x = 146,111.34 × 58,134.01
  4. Step 4: Simplify right side
    105,877.57x = 8,494,038,100.67
  5. Step 5: Solve for x
    x = 8,494,038,100.67/105,877.57
  6. Step 6: Final answer
    x = 80,225.09

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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.