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Finding the Fourth Proportional to 174,431.40, 261,647.10 and 164,063.40

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Solution

The fourth proportional to 174,431.40, 261,647.10 and 164,063.40 is: 246,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,431.40 : 261,647.10 = 164,063.40 : x
  2. Step 2: Convert to fraction form
    174,431.40/261,647.10 = 164,063.40/x
  3. Step 3: Cross multiply
    174,431.40x = 261,647.10 × 164,063.40
  4. Step 4: Simplify right side
    174,431.40x = 42,926,712,826.14
  5. Step 5: Solve for x
    x = 42,926,712,826.14/174,431.40
  6. Step 6: Final answer
    x = 246,095.10

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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.