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Finding the Fourth Proportional to 106,045.50, 146,346.21 and 58,302.30

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Solution

The fourth proportional to 106,045.50, 146,346.21 and 58,302.30 is: 80,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,045.50 : 146,346.21 = 58,302.30 : x
  2. Step 2: Convert to fraction form
    106,045.50/146,346.21 = 58,302.30/x
  3. Step 3: Cross multiply
    106,045.50x = 146,346.21 × 58,302.30
  4. Step 4: Simplify right side
    106,045.50x = 8,532,320,639.28
  5. Step 5: Solve for x
    x = 8,532,320,639.28/106,045.50
  6. Step 6: Final answer
    x = 80,459.05

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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.