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Finding the Fourth Proportional to 207,503.81, 286,356.23 and 116,861.32

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Solution

The fourth proportional to 207,503.81, 286,356.23 and 116,861.32 is: 161,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,503.81 : 286,356.23 = 116,861.32 : x
  2. Step 2: Convert to fraction form
    207,503.81/286,356.23 = 116,861.32/x
  3. Step 3: Cross multiply
    207,503.81x = 286,356.23 × 116,861.32
  4. Step 4: Simplify right side
    207,503.81x = 33,463,965,629.14
  5. Step 5: Solve for x
    x = 33,463,965,629.14/207,503.81
  6. Step 6: Final answer
    x = 161,269.16

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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.