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Finding the Fourth Proportional to 97,804.24, 134,960.52 and 77,709.76

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Solution

The fourth proportional to 97,804.24, 134,960.52 and 77,709.76 is: 107,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,804.24 : 134,960.52 = 77,709.76 : x
  2. Step 2: Convert to fraction form
    97,804.24/134,960.52 = 77,709.76/x
  3. Step 3: Cross multiply
    97,804.24x = 134,960.52 × 77,709.76
  4. Step 4: Simplify right side
    97,804.24x = 10,487,749,618.68
  5. Step 5: Solve for x
    x = 10,487,749,618.68/97,804.24
  6. Step 6: Final answer
    x = 107,232.05

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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.