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Finding the Fourth Proportional to 210,327.68, 290,256.27 and 114,838.13

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Solution

The fourth proportional to 210,327.68, 290,256.27 and 114,838.13 is: 158,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,327.68 : 290,256.27 = 114,838.13 : x
  2. Step 2: Convert to fraction form
    210,327.68/290,256.27 = 114,838.13/x
  3. Step 3: Cross multiply
    210,327.68x = 290,256.27 × 114,838.13
  4. Step 4: Simplify right side
    210,327.68x = 33,332,487,267.58
  5. Step 5: Solve for x
    x = 33,332,487,267.58/210,327.68
  6. Step 6: Final answer
    x = 158,478.84

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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.