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Finding the Fourth Proportional to 194,495.12, 291,272.40 and 160,968.40

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Solution

The fourth proportional to 194,495.12, 291,272.40 and 160,968.40 is: 241,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,495.12 : 291,272.40 = 160,968.40 : x
  2. Step 2: Convert to fraction form
    194,495.12/291,272.40 = 160,968.40/x
  3. Step 3: Cross multiply
    194,495.12x = 291,272.40 × 160,968.40
  4. Step 4: Simplify right side
    194,495.12x = 46,885,652,192.16
  5. Step 5: Solve for x
    x = 46,885,652,192.16/194,495.12
  6. Step 6: Final answer
    x = 241,063.39

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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.