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Finding the Fourth Proportional to 210,462.40, 290,444.36 and 114,970.68

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Solution

The fourth proportional to 210,462.40, 290,444.36 and 114,970.68 is: 158,662.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,462.40 : 290,444.36 = 114,970.68 : x
  2. Step 2: Convert to fraction form
    210,462.40/290,444.36 = 114,970.68/x
  3. Step 3: Cross multiply
    210,462.40x = 290,444.36 × 114,970.68
  4. Step 4: Simplify right side
    210,462.40x = 33,392,585,571.36
  5. Step 5: Solve for x
    x = 33,392,585,571.36/210,462.40
  6. Step 6: Final answer
    x = 158,662.95

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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.