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Finding the Fourth Proportional to 176,118, 264,215.88 and 65,310

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Solution

The fourth proportional to 176,118, 264,215.88 and 65,310 is: 97,979.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,118 : 264,215.88 = 65,310 : x
  2. Step 2: Convert to fraction form
    176,118/264,215.88 = 65,310/x
  3. Step 3: Cross multiply
    176,118x = 264,215.88 × 65,310
  4. Step 4: Simplify right side
    176,118x = 17,255,939,122.80
  5. Step 5: Solve for x
    x = 17,255,939,122.80/176,118
  6. Step 6: Final answer
    x = 97,979.42

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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.