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Finding the Fourth Proportional to 171,768, 237,039.84 and 96,316.50

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Solution

The fourth proportional to 171,768, 237,039.84 and 96,316.50 is: 132,916.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,768 : 237,039.84 = 96,316.50 : x
  2. Step 2: Convert to fraction form
    171,768/237,039.84 = 96,316.50/x
  3. Step 3: Cross multiply
    171,768x = 237,039.84 × 96,316.50
  4. Step 4: Simplify right side
    171,768x = 22,830,847,749.36
  5. Step 5: Solve for x
    x = 22,830,847,749.36/171,768
  6. Step 6: Final answer
    x = 132,916.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.