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Finding the Fourth Proportional to 156,738.89, 216,365.86 and 105,820.57

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Solution

The fourth proportional to 156,738.89, 216,365.86 and 105,820.57 is: 146,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,738.89 : 216,365.86 = 105,820.57 : x
  2. Step 2: Convert to fraction form
    156,738.89/216,365.86 = 105,820.57/x
  3. Step 3: Cross multiply
    156,738.89x = 216,365.86 × 105,820.57
  4. Step 4: Simplify right side
    156,738.89x = 22,895,957,828.27
  5. Step 5: Solve for x
    x = 22,895,957,828.27/156,738.89
  6. Step 6: Final answer
    x = 146,077.07

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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.