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Finding the Fourth Proportional to 102,779.64, 141,796 and 64,522.92

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Solution

The fourth proportional to 102,779.64, 141,796 and 64,522.92 is: 89,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,779.64 : 141,796 = 64,522.92 : x
  2. Step 2: Convert to fraction form
    102,779.64/141,796 = 64,522.92/x
  3. Step 3: Cross multiply
    102,779.64x = 141,796 × 64,522.92
  4. Step 4: Simplify right side
    102,779.64x = 9,149,091,964.32
  5. Step 5: Solve for x
    x = 9,149,091,964.32/102,779.64
  6. Step 6: Final answer
    x = 89,016.58

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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.