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Finding the Fourth Proportional to 201,051.60, 301,577.40 and 171,527.10

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Solution

The fourth proportional to 201,051.60, 301,577.40 and 171,527.10 is: 257,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,051.60 : 301,577.40 = 171,527.10 : x
  2. Step 2: Convert to fraction form
    201,051.60/301,577.40 = 171,527.10/x
  3. Step 3: Cross multiply
    201,051.60x = 301,577.40 × 171,527.10
  4. Step 4: Simplify right side
    201,051.60x = 51,728,696,847.54
  5. Step 5: Solve for x
    x = 51,728,696,847.54/201,051.60
  6. Step 6: Final answer
    x = 257,290.65

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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.