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Finding the Fourth Proportional to 161,841.40, 242,762.10 and 91,857.40

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Solution

The fourth proportional to 161,841.40, 242,762.10 and 91,857.40 is: 137,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,841.40 : 242,762.10 = 91,857.40 : x
  2. Step 2: Convert to fraction form
    161,841.40/242,762.10 = 91,857.40/x
  3. Step 3: Cross multiply
    161,841.40x = 242,762.10 × 91,857.40
  4. Step 4: Simplify right side
    161,841.40x = 22,299,495,324.54
  5. Step 5: Solve for x
    x = 22,299,495,324.54/161,841.40
  6. Step 6: Final answer
    x = 137,786.10

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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.