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Finding the Fourth Proportional to 207,807.44, 286,768.53 and 117,162.61

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Solution

The fourth proportional to 207,807.44, 286,768.53 and 117,162.61 is: 161,681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,807.44 : 286,768.53 = 117,162.61 : x
  2. Step 2: Convert to fraction form
    207,807.44/286,768.53 = 117,162.61/x
  3. Step 3: Cross multiply
    207,807.44x = 286,768.53 × 117,162.61
  4. Step 4: Simplify right side
    207,807.44x = 33,598,549,440.66
  5. Step 5: Solve for x
    x = 33,598,549,440.66/207,807.44
  6. Step 6: Final answer
    x = 161,681.17

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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.