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Finding the Fourth Proportional to 197,188.40, 295,264.20 and 144,311.60

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Solution

The fourth proportional to 197,188.40, 295,264.20 and 144,311.60 is: 216,088.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,188.40 : 295,264.20 = 144,311.60 : x
  2. Step 2: Convert to fraction form
    197,188.40/295,264.20 = 144,311.60/x
  3. Step 3: Cross multiply
    197,188.40x = 295,264.20 × 144,311.60
  4. Step 4: Simplify right side
    197,188.40x = 42,610,049,124.72
  5. Step 5: Solve for x
    x = 42,610,049,124.72/197,188.40
  6. Step 6: Final answer
    x = 216,088.01

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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.