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Finding the Fourth Proportional to 207,692.69, 286,632.75 and 117,054.78

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Solution

The fourth proportional to 207,692.69, 286,632.75 and 117,054.78 is: 161,545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,692.69 : 286,632.75 = 117,054.78 : x
  2. Step 2: Convert to fraction form
    207,692.69/286,632.75 = 117,054.78/x
  3. Step 3: Cross multiply
    207,692.69x = 286,632.75 × 117,054.78
  4. Step 4: Simplify right side
    207,692.69x = 33,551,733,492.05
  5. Step 5: Solve for x
    x = 33,551,733,492.05/207,692.69
  6. Step 6: Final answer
    x = 161,545.09

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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.