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Finding the Fourth Proportional to 350,465.07, 525,741.32 and 137,205.43

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Solution

The fourth proportional to 350,465.07, 525,741.32 and 137,205.43 is: 205,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,465.07 : 525,741.32 = 137,205.43 : x
  2. Step 2: Convert to fraction form
    350,465.07/525,741.32 = 137,205.43/x
  3. Step 3: Cross multiply
    350,465.07x = 525,741.32 × 137,205.43
  4. Step 4: Simplify right side
    350,465.07x = 72,134,563,879.37
  5. Step 5: Solve for x
    x = 72,134,563,879.37/350,465.07
  6. Step 6: Final answer
    x = 205,825.26

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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.