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Finding the Fourth Proportional to 176,119, 264,217.38 and 65,311

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Solution

The fourth proportional to 176,119, 264,217.38 and 65,311 is: 97,980.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,119 : 264,217.38 = 65,311 : x
  2. Step 2: Convert to fraction form
    176,119/264,217.38 = 65,311/x
  3. Step 3: Cross multiply
    176,119x = 264,217.38 × 65,311
  4. Step 4: Simplify right side
    176,119x = 17,256,301,305.18
  5. Step 5: Solve for x
    x = 17,256,301,305.18/176,119
  6. Step 6: Final answer
    x = 97,980.92

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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.