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Finding the Fourth Proportional to 174,464, 261,704.64 and 56,126.24

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Solution

The fourth proportional to 174,464, 261,704.64 and 56,126.24 is: 84,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,464 : 261,704.64 = 56,126.24 : x
  2. Step 2: Convert to fraction form
    174,464/261,704.64 = 56,126.24/x
  3. Step 3: Cross multiply
    174,464x = 261,704.64 × 56,126.24
  4. Step 4: Simplify right side
    174,464x = 14,688,497,433.75
  5. Step 5: Solve for x
    x = 14,688,497,433.75/174,464
  6. Step 6: Final answer
    x = 84,192.14

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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.