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Finding the Fourth Proportional to 133,855.40, 200,783.10 and 102,362.60

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Solution

The fourth proportional to 133,855.40, 200,783.10 and 102,362.60 is: 153,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,855.40 : 200,783.10 = 102,362.60 : x
  2. Step 2: Convert to fraction form
    133,855.40/200,783.10 = 102,362.60/x
  3. Step 3: Cross multiply
    133,855.40x = 200,783.10 × 102,362.60
  4. Step 4: Simplify right side
    133,855.40x = 20,552,680,152.06
  5. Step 5: Solve for x
    x = 20,552,680,152.06/133,855.40
  6. Step 6: Final answer
    x = 153,543.90

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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.