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Finding the Fourth Proportional to 210,006.88, 314,883.65 and 83,666.62

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Solution

The fourth proportional to 210,006.88, 314,883.65 and 83,666.62 is: 125,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,006.88 : 314,883.65 = 83,666.62 : x
  2. Step 2: Convert to fraction form
    210,006.88/314,883.65 = 83,666.62/x
  3. Step 3: Cross multiply
    210,006.88x = 314,883.65 × 83,666.62
  4. Step 4: Simplify right side
    210,006.88x = 26,345,249,692.39
  5. Step 5: Solve for x
    x = 26,345,249,692.39/210,006.88
  6. Step 6: Final answer
    x = 125,449.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.