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Finding the Fourth Proportional to 207,039, 285,675.60 and 116,382.96

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Solution

The fourth proportional to 207,039, 285,675.60 and 116,382.96 is: 160,587.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,039 : 285,675.60 = 116,382.96 : x
  2. Step 2: Convert to fraction form
    207,039/285,675.60 = 116,382.96/x
  3. Step 3: Cross multiply
    207,039x = 285,675.60 × 116,382.96
  4. Step 4: Simplify right side
    207,039x = 33,247,771,927.78
  5. Step 5: Solve for x
    x = 33,247,771,927.78/207,039
  6. Step 6: Final answer
    x = 160,587.00

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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.