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Finding the Fourth Proportional to 145,856.50, 218,821.68 and 40,675.47

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Solution

The fourth proportional to 145,856.50, 218,821.68 and 40,675.47 is: 61,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,856.50 : 218,821.68 = 40,675.47 : x
  2. Step 2: Convert to fraction form
    145,856.50/218,821.68 = 40,675.47/x
  3. Step 3: Cross multiply
    145,856.50x = 218,821.68 × 40,675.47
  4. Step 4: Simplify right side
    145,856.50x = 8,900,674,680.19
  5. Step 5: Solve for x
    x = 8,900,674,680.19/145,856.50
  6. Step 6: Final answer
    x = 61,023.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.