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Finding the Fourth Proportional to 291,567.56, 437,398.20 and 102,023.69

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Solution

The fourth proportional to 291,567.56, 437,398.20 and 102,023.69 is: 153,051.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,567.56 : 437,398.20 = 102,023.69 : x
  2. Step 2: Convert to fraction form
    291,567.56/437,398.20 = 102,023.69/x
  3. Step 3: Cross multiply
    291,567.56x = 437,398.20 × 102,023.69
  4. Step 4: Simplify right side
    291,567.56x = 44,624,978,363.36
  5. Step 5: Solve for x
    x = 44,624,978,363.36/291,567.56
  6. Step 6: Final answer
    x = 153,051.93

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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.