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Finding the Fourth Proportional to 376,610.46, 564,935.13 and 96,130.14

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Solution

The fourth proportional to 376,610.46, 564,935.13 and 96,130.14 is: 144,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,610.46 : 564,935.13 = 96,130.14 : x
  2. Step 2: Convert to fraction form
    376,610.46/564,935.13 = 96,130.14/x
  3. Step 3: Cross multiply
    376,610.46x = 564,935.13 × 96,130.14
  4. Step 4: Simplify right side
    376,610.46x = 54,307,293,137.82
  5. Step 5: Solve for x
    x = 54,307,293,137.82/376,610.46
  6. Step 6: Final answer
    x = 144,200.17

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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.