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Finding the Fourth Proportional to 201,314.60, 302,008.35 and 101,222.90

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Solution

The fourth proportional to 201,314.60, 302,008.35 and 101,222.90 is: 151,852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,314.60 : 302,008.35 = 101,222.90 : x
  2. Step 2: Convert to fraction form
    201,314.60/302,008.35 = 101,222.90/x
  3. Step 3: Cross multiply
    201,314.60x = 302,008.35 × 101,222.90
  4. Step 4: Simplify right side
    201,314.60x = 30,570,161,011.22
  5. Step 5: Solve for x
    x = 30,570,161,011.22/201,314.60
  6. Step 6: Final answer
    x = 151,852.68

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