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Finding the Fourth Proportional to 194,164.70, 291,256.65 and 100,852.70

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Solution

The fourth proportional to 194,164.70, 291,256.65 and 100,852.70 is: 151,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,164.70 : 291,256.65 = 100,852.70 : x
  2. Step 2: Convert to fraction form
    194,164.70/291,256.65 = 100,852.70/x
  3. Step 3: Cross multiply
    194,164.70x = 291,256.65 × 100,852.70
  4. Step 4: Simplify right side
    194,164.70x = 29,374,019,545.46
  5. Step 5: Solve for x
    x = 29,374,019,545.46/194,164.70
  6. Step 6: Final answer
    x = 151,284.04

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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.