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Finding the Fourth Proportional to 161,864.36, 242,796.54 and 51,065

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Solution

The fourth proportional to 161,864.36, 242,796.54 and 51,065 is: 76,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,864.36 : 242,796.54 = 51,065 : x
  2. Step 2: Convert to fraction form
    161,864.36/242,796.54 = 51,065/x
  3. Step 3: Cross multiply
    161,864.36x = 242,796.54 × 51,065
  4. Step 4: Simplify right side
    161,864.36x = 12,398,405,315.10
  5. Step 5: Solve for x
    x = 12,398,405,315.10/161,864.36
  6. Step 6: Final answer
    x = 76,597.50

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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.