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Finding the Fourth Proportional to 105,047.96, 144,960.26 and 59,719.64

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Solution

The fourth proportional to 105,047.96, 144,960.26 and 59,719.64 is: 82,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,047.96 : 144,960.26 = 59,719.64 : x
  2. Step 2: Convert to fraction form
    105,047.96/144,960.26 = 59,719.64/x
  3. Step 3: Cross multiply
    105,047.96x = 144,960.26 × 59,719.64
  4. Step 4: Simplify right side
    105,047.96x = 8,656,973,518.11
  5. Step 5: Solve for x
    x = 8,656,973,518.11/105,047.96
  6. Step 6: Final answer
    x = 82,409.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.