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Finding the Fourth Proportional to 235,782.93, 325,284.30 and 145,111.53

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Solution

The fourth proportional to 235,782.93, 325,284.30 and 145,111.53 is: 200,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,782.93 : 325,284.30 = 145,111.53 : x
  2. Step 2: Convert to fraction form
    235,782.93/325,284.30 = 145,111.53/x
  3. Step 3: Cross multiply
    235,782.93x = 325,284.30 × 145,111.53
  4. Step 4: Simplify right side
    235,782.93x = 47,202,502,457.98
  5. Step 5: Solve for x
    x = 47,202,502,457.98/235,782.93
  6. Step 6: Final answer
    x = 200,194.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.