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Finding the Fourth Proportional to 174,423.40, 261,635.10 and 164,055.40

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Solution

The fourth proportional to 174,423.40, 261,635.10 and 164,055.40 is: 246,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,423.40 : 261,635.10 = 164,055.40 : x
  2. Step 2: Convert to fraction form
    174,423.40/261,635.10 = 164,055.40/x
  3. Step 3: Cross multiply
    174,423.40x = 261,635.10 × 164,055.40
  4. Step 4: Simplify right side
    174,423.40x = 42,922,650,984.54
  5. Step 5: Solve for x
    x = 42,922,650,984.54/174,423.40
  6. Step 6: Final answer
    x = 246,083.10

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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.