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Finding the Fourth Proportional to 176,647.40, 264,971.10 and 164,983.40

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Solution

The fourth proportional to 176,647.40, 264,971.10 and 164,983.40 is: 247,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,647.40 : 264,971.10 = 164,983.40 : x
  2. Step 2: Convert to fraction form
    176,647.40/264,971.10 = 164,983.40/x
  3. Step 3: Cross multiply
    176,647.40x = 264,971.10 × 164,983.40
  4. Step 4: Simplify right side
    176,647.40x = 43,715,832,979.74
  5. Step 5: Solve for x
    x = 43,715,832,979.74/176,647.40
  6. Step 6: Final answer
    x = 247,475.10

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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.