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Finding the Fourth Proportional to 194,573.40, 291,644.10 and 76,205.40

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Solution

The fourth proportional to 194,573.40, 291,644.10 and 76,205.40 is: 114,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,573.40 : 291,644.10 = 76,205.40 : x
  2. Step 2: Convert to fraction form
    194,573.40/291,644.10 = 76,205.40/x
  3. Step 3: Cross multiply
    194,573.40x = 291,644.10 × 76,205.40
  4. Step 4: Simplify right side
    194,573.40x = 22,224,855,298.14
  5. Step 5: Solve for x
    x = 22,224,855,298.14/194,573.40
  6. Step 6: Final answer
    x = 114,223.50

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1.5x scale

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.