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Finding the Fourth Proportional to 161,541.93, 242,321.04 and 61,710.78

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Solution

The fourth proportional to 161,541.93, 242,321.04 and 61,710.78 is: 92,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,541.93 : 242,321.04 = 61,710.78 : x
  2. Step 2: Convert to fraction form
    161,541.93/242,321.04 = 61,710.78/x
  3. Step 3: Cross multiply
    161,541.93x = 242,321.04 × 61,710.78
  4. Step 4: Simplify right side
    161,541.93x = 14,953,820,388.81
  5. Step 5: Solve for x
    x = 14,953,820,388.81/161,541.93
  6. Step 6: Final answer
    x = 92,569.28

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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.