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Finding the Fourth Proportional to 176,669.40, 265,004.10 and 165,005.40

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Solution

The fourth proportional to 176,669.40, 265,004.10 and 165,005.40 is: 247,508.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,669.40 : 265,004.10 = 165,005.40 : x
  2. Step 2: Convert to fraction form
    176,669.40/265,004.10 = 165,005.40/x
  3. Step 3: Cross multiply
    176,669.40x = 265,004.10 × 165,005.40
  4. Step 4: Simplify right side
    176,669.40x = 43,727,107,522.14
  5. Step 5: Solve for x
    x = 43,727,107,522.14/176,669.40
  6. Step 6: Final answer
    x = 247,508.10

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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.