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Finding the Fourth Proportional to 102,617.69, 141,611.07 and 57,296.45

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Solution

The fourth proportional to 102,617.69, 141,611.07 and 57,296.45 is: 79,068.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,617.69 : 141,611.07 = 57,296.45 : x
  2. Step 2: Convert to fraction form
    102,617.69/141,611.07 = 57,296.45/x
  3. Step 3: Cross multiply
    102,617.69x = 141,611.07 × 57,296.45
  4. Step 4: Simplify right side
    102,617.69x = 8,113,810,597.16
  5. Step 5: Solve for x
    x = 8,113,810,597.16/102,617.69
  6. Step 6: Final answer
    x = 79,068.34

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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.