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Finding the Fourth Proportional to 140,506.30, 210,322.05 and 136,132.30

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Solution

The fourth proportional to 140,506.30, 210,322.05 and 136,132.30 is: 203,774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,506.30 : 210,322.05 = 136,132.30 : x
  2. Step 2: Convert to fraction form
    140,506.30/210,322.05 = 136,132.30/x
  3. Step 3: Cross multiply
    140,506.30x = 210,322.05 × 136,132.30
  4. Step 4: Simplify right side
    140,506.30x = 28,631,624,407.22
  5. Step 5: Solve for x
    x = 28,631,624,407.22/140,506.30
  6. Step 6: Final answer
    x = 203,774.67

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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.