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Finding the Fourth Proportional to 176,127, 264,229.38 and 65,319

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Solution

The fourth proportional to 176,127, 264,229.38 and 65,319 is: 97,992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,127 : 264,229.38 = 65,319 : x
  2. Step 2: Convert to fraction form
    176,127/264,229.38 = 65,319/x
  3. Step 3: Cross multiply
    176,127x = 264,229.38 × 65,319
  4. Step 4: Simplify right side
    176,127x = 17,259,198,872.22
  5. Step 5: Solve for x
    x = 17,259,198,872.22/176,127
  6. Step 6: Final answer
    x = 97,992.92

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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.