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Finding the Fourth Proportional to 241,427.60, 361,709.40 and 116,493.20

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Solution

The fourth proportional to 241,427.60, 361,709.40 and 116,493.20 is: 174,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,427.60 : 361,709.40 = 116,493.20 : x
  2. Step 2: Convert to fraction form
    241,427.60/361,709.40 = 116,493.20/x
  3. Step 3: Cross multiply
    241,427.60x = 361,709.40 × 116,493.20
  4. Step 4: Simplify right side
    241,427.60x = 42,136,685,476.08
  5. Step 5: Solve for x
    x = 42,136,685,476.08/241,427.60
  6. Step 6: Final answer
    x = 174,531.35

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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.