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Finding the Fourth Proportional to 230,071.41, 317,449.74 and 145,139.25

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Solution

The fourth proportional to 230,071.41, 317,449.74 and 145,139.25 is: 200,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,071.41 : 317,449.74 = 145,139.25 : x
  2. Step 2: Convert to fraction form
    230,071.41/317,449.74 = 145,139.25/x
  3. Step 3: Cross multiply
    230,071.41x = 317,449.74 × 145,139.25
  4. Step 4: Simplify right side
    230,071.41x = 46,074,417,176.30
  5. Step 5: Solve for x
    x = 46,074,417,176.30/230,071.41
  6. Step 6: Final answer
    x = 200,261.38

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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.