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Finding the Fourth Proportional to 265,109.99, 397,407.74 and 105,133.50

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Solution

The fourth proportional to 265,109.99, 397,407.74 and 105,133.50 is: 157,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,109.99 : 397,407.74 = 105,133.50 : x
  2. Step 2: Convert to fraction form
    265,109.99/397,407.74 = 105,133.50/x
  3. Step 3: Cross multiply
    265,109.99x = 397,407.74 × 105,133.50
  4. Step 4: Simplify right side
    265,109.99x = 41,780,866,107.62
  5. Step 5: Solve for x
    x = 41,780,866,107.62/265,109.99
  6. Step 6: Final answer
    x = 157,598.24

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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.