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Finding the Fourth Proportional to 105,909.66, 146,156.34 and 58,164

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Solution

The fourth proportional to 105,909.66, 146,156.34 and 58,164 is: 80,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,909.66 : 146,156.34 = 58,164 : x
  2. Step 2: Convert to fraction form
    105,909.66/146,156.34 = 58,164/x
  3. Step 3: Cross multiply
    105,909.66x = 146,156.34 × 58,164
  4. Step 4: Simplify right side
    105,909.66x = 8,501,037,359.76
  5. Step 5: Solve for x
    x = 8,501,037,359.76/105,909.66
  6. Step 6: Final answer
    x = 80,266.87

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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.