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Finding the Fourth Proportional to 176,421.44, 264,640.80 and 51,752

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Solution

The fourth proportional to 176,421.44, 264,640.80 and 51,752 is: 77,630.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,421.44 : 264,640.80 = 51,752 : x
  2. Step 2: Convert to fraction form
    176,421.44/264,640.80 = 51,752/x
  3. Step 3: Cross multiply
    176,421.44x = 264,640.80 × 51,752
  4. Step 4: Simplify right side
    176,421.44x = 13,695,690,681.60
  5. Step 5: Solve for x
    x = 13,695,690,681.60/176,421.44
  6. Step 6: Final answer
    x = 77,630.53

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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.