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Finding the Fourth Proportional to 142,477.38, 196,617.98 and 78,813.81

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Solution

The fourth proportional to 142,477.38, 196,617.98 and 78,813.81 is: 108,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,477.38 : 196,617.98 = 78,813.81 : x
  2. Step 2: Convert to fraction form
    142,477.38/196,617.98 = 78,813.81/x
  3. Step 3: Cross multiply
    142,477.38x = 196,617.98 × 78,813.81
  4. Step 4: Simplify right side
    142,477.38x = 15,496,212,315.34
  5. Step 5: Solve for x
    x = 15,496,212,315.34/142,477.38
  6. Step 6: Final answer
    x = 108,762.61

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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.