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Finding the Fourth Proportional to 319,122, 478,765.02 and 119,445.26

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Solution

The fourth proportional to 319,122, 478,765.02 and 119,445.26 is: 179,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,122 : 478,765.02 = 119,445.26 : x
  2. Step 2: Convert to fraction form
    319,122/478,765.02 = 119,445.26/x
  3. Step 3: Cross multiply
    319,122x = 478,765.02 × 119,445.26
  4. Step 4: Simplify right side
    319,122x = 57,186,209,898.98
  5. Step 5: Solve for x
    x = 57,186,209,898.98/319,122
  6. Step 6: Final answer
    x = 179,198.58

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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.