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Finding the Fourth Proportional to 99,677.84, 137,566.38 and 61,429.64

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Solution

The fourth proportional to 99,677.84, 137,566.38 and 61,429.64 is: 84,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,677.84 : 137,566.38 = 61,429.64 : x
  2. Step 2: Convert to fraction form
    99,677.84/137,566.38 = 61,429.64/x
  3. Step 3: Cross multiply
    99,677.84x = 137,566.38 × 61,429.64
  4. Step 4: Simplify right side
    99,677.84x = 8,450,653,199.50
  5. Step 5: Solve for x
    x = 8,450,653,199.50/99,677.84
  6. Step 6: Final answer
    x = 84,779.66

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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.