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Finding the Fourth Proportional to 138,653.75, 207,980.63 and 45,159.50

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Solution

The fourth proportional to 138,653.75, 207,980.63 and 45,159.50 is: 67,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,653.75 : 207,980.63 = 45,159.50 : x
  2. Step 2: Convert to fraction form
    138,653.75/207,980.63 = 45,159.50/x
  3. Step 3: Cross multiply
    138,653.75x = 207,980.63 × 45,159.50
  4. Step 4: Simplify right side
    138,653.75x = 9,392,301,893.34
  5. Step 5: Solve for x
    x = 9,392,301,893.34/138,653.75
  6. Step 6: Final answer
    x = 67,739.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.