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Finding the Fourth Proportional to 102,357.44, 141,283.68 and 64,656.80

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Solution

The fourth proportional to 102,357.44, 141,283.68 and 64,656.80 is: 89,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,357.44 : 141,283.68 = 64,656.80 : x
  2. Step 2: Convert to fraction form
    102,357.44/141,283.68 = 64,656.80/x
  3. Step 3: Cross multiply
    102,357.44x = 141,283.68 × 64,656.80
  4. Step 4: Simplify right side
    102,357.44x = 9,134,950,641.02
  5. Step 5: Solve for x
    x = 9,134,950,641.02/102,357.44
  6. Step 6: Final answer
    x = 89,245.60

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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.