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Finding the Fourth Proportional to 194,448.60, 291,672.90 and 177,827.40

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Solution

The fourth proportional to 194,448.60, 291,672.90 and 177,827.40 is: 266,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,448.60 : 291,672.90 = 177,827.40 : x
  2. Step 2: Convert to fraction form
    194,448.60/291,672.90 = 177,827.40/x
  3. Step 3: Cross multiply
    194,448.60x = 291,672.90 × 177,827.40
  4. Step 4: Simplify right side
    194,448.60x = 51,867,433,457.46
  5. Step 5: Solve for x
    x = 51,867,433,457.46/194,448.60
  6. Step 6: Final answer
    x = 266,741.10

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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.