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Finding the Fourth Proportional to 176,649.40, 264,974.10 and 164,985.40

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Solution

The fourth proportional to 176,649.40, 264,974.10 and 164,985.40 is: 247,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,649.40 : 264,974.10 = 164,985.40 : x
  2. Step 2: Convert to fraction form
    176,649.40/264,974.10 = 164,985.40/x
  3. Step 3: Cross multiply
    176,649.40x = 264,974.10 × 164,985.40
  4. Step 4: Simplify right side
    176,649.40x = 43,716,857,878.14
  5. Step 5: Solve for x
    x = 43,716,857,878.14/176,649.40
  6. Step 6: Final answer
    x = 247,478.10

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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.