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Finding the Fourth Proportional to 194,174.80, 291,303.80 and 109,974.76

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Solution

The fourth proportional to 194,174.80, 291,303.80 and 109,974.76 is: 164,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,174.80 : 291,303.80 = 109,974.76 : x
  2. Step 2: Convert to fraction form
    194,174.80/291,303.80 = 109,974.76/x
  3. Step 3: Cross multiply
    194,174.80x = 291,303.80 × 109,974.76
  4. Step 4: Simplify right side
    194,174.80x = 32,036,065,492.09
  5. Step 5: Solve for x
    x = 32,036,065,492.09/194,174.80
  6. Step 6: Final answer
    x = 164,985.70

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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.