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Finding the Fourth Proportional to 301,957.40, 416,692.14 and 165,991.16

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Solution

The fourth proportional to 301,957.40, 416,692.14 and 165,991.16 is: 229,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,957.40 : 416,692.14 = 165,991.16 : x
  2. Step 2: Convert to fraction form
    301,957.40/416,692.14 = 165,991.16/x
  3. Step 3: Cross multiply
    301,957.40x = 416,692.14 × 165,991.16
  4. Step 4: Simplify right side
    301,957.40x = 69,167,211,681.48
  5. Step 5: Solve for x
    x = 69,167,211,681.48/301,957.40
  6. Step 6: Final answer
    x = 229,062.81

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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.