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Finding the Fourth Proportional to 176,340, 264,428.10 and 64,005.96

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Solution

The fourth proportional to 176,340, 264,428.10 and 64,005.96 is: 95,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,340 : 264,428.10 = 64,005.96 : x
  2. Step 2: Convert to fraction form
    176,340/264,428.10 = 64,005.96/x
  3. Step 3: Cross multiply
    176,340x = 264,428.10 × 64,005.96
  4. Step 4: Simplify right side
    176,340x = 16,924,974,391.48
  5. Step 5: Solve for x
    x = 16,924,974,391.48/176,340
  6. Step 6: Final answer
    x = 95,979.21

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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.