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Finding the Fourth Proportional to 194,018.40, 291,027.60 and 146,779.20

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Solution

The fourth proportional to 194,018.40, 291,027.60 and 146,779.20 is: 220,168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,018.40 : 291,027.60 = 146,779.20 : x
  2. Step 2: Convert to fraction form
    194,018.40/291,027.60 = 146,779.20/x
  3. Step 3: Cross multiply
    194,018.40x = 291,027.60 × 146,779.20
  4. Step 4: Simplify right side
    194,018.40x = 42,716,798,305.92
  5. Step 5: Solve for x
    x = 42,716,798,305.92/194,018.40
  6. Step 6: Final answer
    x = 220,168.80

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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.