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Finding the Fourth Proportional to 210,927.49, 290,777.37 and 150,393.16

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Solution

The fourth proportional to 210,927.49, 290,777.37 and 150,393.16 is: 207,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,927.49 : 290,777.37 = 150,393.16 : x
  2. Step 2: Convert to fraction form
    210,927.49/290,777.37 = 150,393.16/x
  3. Step 3: Cross multiply
    210,927.49x = 290,777.37 × 150,393.16
  4. Step 4: Simplify right side
    210,927.49x = 43,730,926,117.64
  5. Step 5: Solve for x
    x = 43,730,926,117.64/210,927.49
  6. Step 6: Final answer
    x = 207,326.82

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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.