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Finding the Fourth Proportional to 210,643.60, 290,688.24 and 115,150.28

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Solution

The fourth proportional to 210,643.60, 290,688.24 and 115,150.28 is: 158,907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,643.60 : 290,688.24 = 115,150.28 : x
  2. Step 2: Convert to fraction form
    210,643.60/290,688.24 = 115,150.28/x
  3. Step 3: Cross multiply
    210,643.60x = 290,688.24 × 115,150.28
  4. Step 4: Simplify right side
    210,643.60x = 33,472,832,228.71
  5. Step 5: Solve for x
    x = 33,472,832,228.71/210,643.60
  6. Step 6: Final answer
    x = 158,907.43

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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.