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Finding the Fourth Proportional to 210,322.54, 290,243.58 and 114,829.23

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Solution

The fourth proportional to 210,322.54, 290,243.58 and 114,829.23 is: 158,463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,322.54 : 290,243.58 = 114,829.23 : x
  2. Step 2: Convert to fraction form
    210,322.54/290,243.58 = 114,829.23/x
  3. Step 3: Cross multiply
    210,322.54x = 290,243.58 × 114,829.23
  4. Step 4: Simplify right side
    210,322.54x = 33,328,446,803.84
  5. Step 5: Solve for x
    x = 33,328,446,803.84/210,322.54
  6. Step 6: Final answer
    x = 158,463.51

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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.