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Finding the Fourth Proportional to 176,257.09, 264,385.64 and 51,598.09

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Solution

The fourth proportional to 176,257.09, 264,385.64 and 51,598.09 is: 77,397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,257.09 : 264,385.64 = 51,598.09 : x
  2. Step 2: Convert to fraction form
    176,257.09/264,385.64 = 51,598.09/x
  3. Step 3: Cross multiply
    176,257.09x = 264,385.64 × 51,598.09
  4. Step 4: Simplify right side
    176,257.09x = 13,641,794,047.43
  5. Step 5: Solve for x
    x = 13,641,794,047.43/176,257.09
  6. Step 6: Final answer
    x = 77,397.14

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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.