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Finding the Fourth Proportional to 376,622, 564,932.48 and 96,139.28

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Solution

The fourth proportional to 376,622, 564,932.48 and 96,139.28 is: 144,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,622 : 564,932.48 = 96,139.28 : x
  2. Step 2: Convert to fraction form
    376,622/564,932.48 = 96,139.28/x
  3. Step 3: Cross multiply
    376,622x = 564,932.48 × 96,139.28
  4. Step 4: Simplify right side
    376,622x = 54,312,201,875.81
  5. Step 5: Solve for x
    x = 54,312,201,875.81/376,622
  6. Step 6: Final answer
    x = 144,208.79

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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.