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Finding the Fourth Proportional to 210,463.89, 290,436.53 and 114,968.13

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Solution

The fourth proportional to 210,463.89, 290,436.53 and 114,968.13 is: 158,654.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,463.89 : 290,436.53 = 114,968.13 : x
  2. Step 2: Convert to fraction form
    210,463.89/290,436.53 = 114,968.13/x
  3. Step 3: Cross multiply
    210,463.89x = 290,436.53 × 114,968.13
  4. Step 4: Simplify right side
    210,463.89x = 33,390,944,162.95
  5. Step 5: Solve for x
    x = 33,390,944,162.95/210,463.89
  6. Step 6: Final answer
    x = 158,654.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.