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Finding the Fourth Proportional to 176,001.80, 264,002.70 and 51,342.80

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Solution

The fourth proportional to 176,001.80, 264,002.70 and 51,342.80 is: 77,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,001.80 : 264,002.70 = 51,342.80 : x
  2. Step 2: Convert to fraction form
    176,001.80/264,002.70 = 51,342.80/x
  3. Step 3: Cross multiply
    176,001.80x = 264,002.70 × 51,342.80
  4. Step 4: Simplify right side
    176,001.80x = 13,554,637,825.56
  5. Step 5: Solve for x
    x = 13,554,637,825.56/176,001.80
  6. Step 6: Final answer
    x = 77,014.20

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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.