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Finding the Fourth Proportional to 201,140.60, 301,905.30 and 101,413.40

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Solution

The fourth proportional to 201,140.60, 301,905.30 and 101,413.40 is: 152,218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,140.60 : 301,905.30 = 101,413.40 : x
  2. Step 2: Convert to fraction form
    201,140.60/301,905.30 = 101,413.40/x
  3. Step 3: Cross multiply
    201,140.60x = 301,905.30 × 101,413.40
  4. Step 4: Simplify right side
    201,140.60x = 30,617,242,951.02
  5. Step 5: Solve for x
    x = 30,617,242,951.02/201,140.60
  6. Step 6: Final answer
    x = 152,218.11

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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.