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Finding the Fourth Proportional to 114,959.43, 172,537.56 and 65,088.54

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Solution

The fourth proportional to 114,959.43, 172,537.56 and 65,088.54 is: 97,688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,959.43 : 172,537.56 = 65,088.54 : x
  2. Step 2: Convert to fraction form
    114,959.43/172,537.56 = 65,088.54/x
  3. Step 3: Cross multiply
    114,959.43x = 172,537.56 × 65,088.54
  4. Step 4: Simplify right side
    114,959.43x = 11,230,217,875.56
  5. Step 5: Solve for x
    x = 11,230,217,875.56/114,959.43
  6. Step 6: Final answer
    x = 97,688.53

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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.