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Finding the Fourth Proportional to 201,657.40, 302,413.20 and 101,784.40

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Solution

The fourth proportional to 201,657.40, 302,413.20 and 101,784.40 is: 152,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,657.40 : 302,413.20 = 101,784.40 : x
  2. Step 2: Convert to fraction form
    201,657.40/302,413.20 = 101,784.40/x
  3. Step 3: Cross multiply
    201,657.40x = 302,413.20 × 101,784.40
  4. Step 4: Simplify right side
    201,657.40x = 30,780,946,114.08
  5. Step 5: Solve for x
    x = 30,780,946,114.08/201,657.40
  6. Step 6: Final answer
    x = 152,639.80

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Why These Related Problems?

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