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Finding the Fourth Proportional to 141,873.84, 195,782.40 and 78,210.36

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Solution

The fourth proportional to 141,873.84, 195,782.40 and 78,210.36 is: 107,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,873.84 : 195,782.40 = 78,210.36 : x
  2. Step 2: Convert to fraction form
    141,873.84/195,782.40 = 78,210.36/x
  3. Step 3: Cross multiply
    141,873.84x = 195,782.40 × 78,210.36
  4. Step 4: Simplify right side
    141,873.84x = 15,312,211,985.66
  5. Step 5: Solve for x
    x = 15,312,211,985.66/141,873.84
  6. Step 6: Final answer
    x = 107,928.37

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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.