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Finding the Fourth Proportional to 210,634.53, 290,588.62 and 147,009.57

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Solution

The fourth proportional to 210,634.53, 290,588.62 and 147,009.57 is: 202,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,634.53 : 290,588.62 = 147,009.57 : x
  2. Step 2: Convert to fraction form
    210,634.53/290,588.62 = 147,009.57/x
  3. Step 3: Cross multiply
    210,634.53x = 290,588.62 × 147,009.57
  4. Step 4: Simplify right side
    210,634.53x = 42,719,308,073.09
  5. Step 5: Solve for x
    x = 42,719,308,073.09/210,634.53
  6. Step 6: Final answer
    x = 202,812.46

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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.