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Finding the Fourth Proportional to 207,301.41, 286,090.47 and 116,666.10

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Solution

The fourth proportional to 207,301.41, 286,090.47 and 116,666.10 is: 161,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,301.41 : 286,090.47 = 116,666.10 : x
  2. Step 2: Convert to fraction form
    207,301.41/286,090.47 = 116,666.10/x
  3. Step 3: Cross multiply
    207,301.41x = 286,090.47 × 116,666.10
  4. Step 4: Simplify right side
    207,301.41x = 33,377,059,382.07
  5. Step 5: Solve for x
    x = 33,377,059,382.07/207,301.41
  6. Step 6: Final answer
    x = 161,007.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.