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Finding the Fourth Proportional to 161,606.94, 242,410.47 and 77,347.27

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Solution

The fourth proportional to 161,606.94, 242,410.47 and 77,347.27 is: 116,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,606.94 : 242,410.47 = 77,347.27 : x
  2. Step 2: Convert to fraction form
    161,606.94/242,410.47 = 77,347.27/x
  3. Step 3: Cross multiply
    161,606.94x = 242,410.47 × 77,347.27
  4. Step 4: Simplify right side
    161,606.94x = 18,749,788,073.92
  5. Step 5: Solve for x
    x = 18,749,788,073.92/161,606.94
  6. Step 6: Final answer
    x = 116,020.93

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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.