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Finding the Fourth Proportional to 194,785.40, 292,178.10 and 171,457.40

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Solution

The fourth proportional to 194,785.40, 292,178.10 and 171,457.40 is: 257,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,785.40 : 292,178.10 = 171,457.40 : x
  2. Step 2: Convert to fraction form
    194,785.40/292,178.10 = 171,457.40/x
  3. Step 3: Cross multiply
    194,785.40x = 292,178.10 × 171,457.40
  4. Step 4: Simplify right side
    194,785.40x = 50,096,097,362.94
  5. Step 5: Solve for x
    x = 50,096,097,362.94/194,785.40
  6. Step 6: Final answer
    x = 257,186.10

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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.