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Finding the Fourth Proportional to 210,525.28, 290,718.86 and 135,205

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Solution

The fourth proportional to 210,525.28, 290,718.86 and 135,205 is: 186,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,525.28 : 290,718.86 = 135,205 : x
  2. Step 2: Convert to fraction form
    210,525.28/290,718.86 = 135,205/x
  3. Step 3: Cross multiply
    210,525.28x = 290,718.86 × 135,205
  4. Step 4: Simplify right side
    210,525.28x = 39,306,643,466.30
  5. Step 5: Solve for x
    x = 39,306,643,466.30/210,525.28
  6. Step 6: Final answer
    x = 186,707.48

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