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Finding the Fourth Proportional to 141,669, 195,498.63 and 78,005.16

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Solution

The fourth proportional to 141,669, 195,498.63 and 78,005.16 is: 107,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,669 : 195,498.63 = 78,005.16 : x
  2. Step 2: Convert to fraction form
    141,669/195,498.63 = 78,005.16/x
  3. Step 3: Cross multiply
    141,669x = 195,498.63 × 78,005.16
  4. Step 4: Simplify right side
    141,669x = 15,249,901,912.93
  5. Step 5: Solve for x
    x = 15,249,901,912.93/141,669
  6. Step 6: Final answer
    x = 107,644.59

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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.