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Finding the Fourth Proportional to 176,312, 264,468 and 51,654.08

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Solution

The fourth proportional to 176,312, 264,468 and 51,654.08 is: 77,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,312 : 264,468 = 51,654.08 : x
  2. Step 2: Convert to fraction form
    176,312/264,468 = 51,654.08/x
  3. Step 3: Cross multiply
    176,312x = 264,468 × 51,654.08
  4. Step 4: Simplify right side
    176,312x = 13,660,851,229.44
  5. Step 5: Solve for x
    x = 13,660,851,229.44/176,312
  6. Step 6: Final answer
    x = 77,481.12

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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.