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Finding the Fourth Proportional to 194,598.40, 291,328.92 and 175,921.44

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Solution

The fourth proportional to 194,598.40, 291,328.92 and 175,921.44 is: 263,368.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,598.40 : 291,328.92 = 175,921.44 : x
  2. Step 2: Convert to fraction form
    194,598.40/291,328.92 = 175,921.44/x
  3. Step 3: Cross multiply
    194,598.40x = 291,328.92 × 175,921.44
  4. Step 4: Simplify right side
    194,598.40x = 51,251,003,120.04
  5. Step 5: Solve for x
    x = 51,251,003,120.04/194,598.40
  6. Step 6: Final answer
    x = 263,368.06

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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.