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Finding the Fourth Proportional to 207,249, 286,003.62 and 117,825

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Solution

The fourth proportional to 207,249, 286,003.62 and 117,825 is: 162,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,249 : 286,003.62 = 117,825 : x
  2. Step 2: Convert to fraction form
    207,249/286,003.62 = 117,825/x
  3. Step 3: Cross multiply
    207,249x = 286,003.62 × 117,825
  4. Step 4: Simplify right side
    207,249x = 33,698,376,526.50
  5. Step 5: Solve for x
    x = 33,698,376,526.50/207,249
  6. Step 6: Final answer
    x = 162,598.50

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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.