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Finding the Fourth Proportional to 303,021, 454,597.11 and 116,032.50

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Solution

The fourth proportional to 303,021, 454,597.11 and 116,032.50 is: 174,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,021 : 454,597.11 = 116,032.50 : x
  2. Step 2: Convert to fraction form
    303,021/454,597.11 = 116,032.50/x
  3. Step 3: Cross multiply
    303,021x = 454,597.11 × 116,032.50
  4. Step 4: Simplify right side
    303,021x = 52,748,039,166.08
  5. Step 5: Solve for x
    x = 52,748,039,166.08/303,021
  6. Step 6: Final answer
    x = 174,073.87

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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.