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Finding the Fourth Proportional to 176,006.41, 264,017.81 and 51,347.41

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Solution

The fourth proportional to 176,006.41, 264,017.81 and 51,347.41 is: 77,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,006.41 : 264,017.81 = 51,347.41 : x
  2. Step 2: Convert to fraction form
    176,006.41/264,017.81 = 51,347.41/x
  3. Step 3: Cross multiply
    176,006.41x = 264,017.81 × 51,347.41
  4. Step 4: Simplify right side
    176,006.41x = 13,556,630,205.70
  5. Step 5: Solve for x
    x = 13,556,630,205.70/176,006.41
  6. Step 6: Final answer
    x = 77,023.50

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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.