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Finding the Fourth Proportional to 210,465.48, 290,462.38 and 114,986.52

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Solution

The fourth proportional to 210,465.48, 290,462.38 and 114,986.52 is: 158,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,465.48 : 290,462.38 = 114,986.52 : x
  2. Step 2: Convert to fraction form
    210,465.48/290,462.38 = 114,986.52/x
  3. Step 3: Cross multiply
    210,465.48x = 290,462.38 × 114,986.52
  4. Step 4: Simplify right side
    210,465.48x = 33,399,258,267.12
  5. Step 5: Solve for x
    x = 33,399,258,267.12/210,465.48
  6. Step 6: Final answer
    x = 158,692.33

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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.