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Finding the Fourth Proportional to 194,596.40, 291,325.92 and 175,919.42

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Solution

The fourth proportional to 194,596.40, 291,325.92 and 175,919.42 is: 263,365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,596.40 : 291,325.92 = 175,919.42 : x
  2. Step 2: Convert to fraction form
    194,596.40/291,325.92 = 175,919.42/x
  3. Step 3: Cross multiply
    194,596.40x = 291,325.92 × 175,919.42
  4. Step 4: Simplify right side
    194,596.40x = 51,249,886,877.37
  5. Step 5: Solve for x
    x = 51,249,886,877.37/194,596.40
  6. Step 6: Final answer
    x = 263,365.03

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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.