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Finding the Fourth Proportional to 305,511.40, 458,083 and 137,001.25

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Solution

The fourth proportional to 305,511.40, 458,083 and 137,001.25 is: 205,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,511.40 : 458,083 = 137,001.25 : x
  2. Step 2: Convert to fraction form
    305,511.40/458,083 = 137,001.25/x
  3. Step 3: Cross multiply
    305,511.40x = 458,083 × 137,001.25
  4. Step 4: Simplify right side
    305,511.40x = 62,757,943,603.75
  5. Step 5: Solve for x
    x = 62,757,943,603.75/305,511.40
  6. Step 6: Final answer
    x = 205,419.32

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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.