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Finding the Fourth Proportional to 102,216.47, 140,998.94 and 66,430.32

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Solution

The fourth proportional to 102,216.47, 140,998.94 and 66,430.32 is: 91,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,216.47 : 140,998.94 = 66,430.32 : x
  2. Step 2: Convert to fraction form
    102,216.47/140,998.94 = 66,430.32/x
  3. Step 3: Cross multiply
    102,216.47x = 140,998.94 × 66,430.32
  4. Step 4: Simplify right side
    102,216.47x = 9,366,604,703.86
  5. Step 5: Solve for x
    x = 9,366,604,703.86/102,216.47
  6. Step 6: Final answer
    x = 91,634.99

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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.