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Finding the Fourth Proportional to 106,960.86, 147,559.64 and 64,495.80

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Solution

The fourth proportional to 106,960.86, 147,559.64 and 64,495.80 is: 88,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,960.86 : 147,559.64 = 64,495.80 : x
  2. Step 2: Convert to fraction form
    106,960.86/147,559.64 = 64,495.80/x
  3. Step 3: Cross multiply
    106,960.86x = 147,559.64 × 64,495.80
  4. Step 4: Simplify right side
    106,960.86x = 9,516,976,707.03
  5. Step 5: Solve for x
    x = 9,516,976,707.03/106,960.86
  6. Step 6: Final answer
    x = 88,976.25

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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.