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Finding the Fourth Proportional to 207,152.66, 285,864.44 and 116,513.66

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Solution

The fourth proportional to 207,152.66, 285,864.44 and 116,513.66 is: 160,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,152.66 : 285,864.44 = 116,513.66 : x
  2. Step 2: Convert to fraction form
    207,152.66/285,864.44 = 116,513.66/x
  3. Step 3: Cross multiply
    207,152.66x = 285,864.44 × 116,513.66
  4. Step 4: Simplify right side
    207,152.66x = 33,307,112,168.25
  5. Step 5: Solve for x
    x = 33,307,112,168.25/207,152.66
  6. Step 6: Final answer
    x = 160,785.35

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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.