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Finding the Fourth Proportional to 137,497.60, 205,900.80 and 102,246.40

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Solution

The fourth proportional to 137,497.60, 205,900.80 and 102,246.40 is: 153,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,497.60 : 205,900.80 = 102,246.40 : x
  2. Step 2: Convert to fraction form
    137,497.60/205,900.80 = 102,246.40/x
  3. Step 3: Cross multiply
    137,497.60x = 205,900.80 × 102,246.40
  4. Step 4: Simplify right side
    137,497.60x = 21,052,615,557.12
  5. Step 5: Solve for x
    x = 21,052,615,557.12/137,497.60
  6. Step 6: Final answer
    x = 153,112.60

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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.