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Finding the Fourth Proportional to 165,247.76, 247,795.08 and 133,580.00

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Solution

The fourth proportional to 165,247.76, 247,795.08 and 133,580.00 is: 200,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,247.76 : 247,795.08 = 133,580.00 : x
  2. Step 2: Convert to fraction form
    165,247.76/247,795.08 = 133,580.00/x
  3. Step 3: Cross multiply
    165,247.76x = 247,795.08 × 133,580.00
  4. Step 4: Simplify right side
    165,247.76x = 33,100,465,547.42
  5. Step 5: Solve for x
    x = 33,100,465,547.42/165,247.76
  6. Step 6: Final answer
    x = 200,308.11

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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.