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Finding the Fourth Proportional to 210,638.72, 290,653.36 and 135,289.28

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Solution

The fourth proportional to 210,638.72, 290,653.36 and 135,289.28 is: 186,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,638.72 : 290,653.36 = 135,289.28 : x
  2. Step 2: Convert to fraction form
    210,638.72/290,653.36 = 135,289.28/x
  3. Step 3: Cross multiply
    210,638.72x = 290,653.36 × 135,289.28
  4. Step 4: Simplify right side
    210,638.72x = 39,322,283,803.98
  5. Step 5: Solve for x
    x = 39,322,283,803.98/210,638.72
  6. Step 6: Final answer
    x = 186,681.18

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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.