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Finding the Fourth Proportional to 291,909.06, 437,858.02 and 102,316.82

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Solution

The fourth proportional to 291,909.06, 437,858.02 and 102,316.82 is: 153,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,909.06 : 437,858.02 = 102,316.82 : x
  2. Step 2: Convert to fraction form
    291,909.06/437,858.02 = 102,316.82/x
  3. Step 3: Cross multiply
    291,909.06x = 437,858.02 × 102,316.82
  4. Step 4: Simplify right side
    291,909.06x = 44,800,240,217.90
  5. Step 5: Solve for x
    x = 44,800,240,217.90/291,909.06
  6. Step 6: Final answer
    x = 153,473.28

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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.