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Finding the Fourth Proportional to 210,156.84, 290,017.38 and 114,665.54

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Solution

The fourth proportional to 210,156.84, 290,017.38 and 114,665.54 is: 158,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,156.84 : 290,017.38 = 114,665.54 : x
  2. Step 2: Convert to fraction form
    210,156.84/290,017.38 = 114,665.54/x
  3. Step 3: Cross multiply
    210,156.84x = 290,017.38 × 114,665.54
  4. Step 4: Simplify right side
    210,156.84x = 33,254,999,487.09
  5. Step 5: Solve for x
    x = 33,254,999,487.09/210,156.84
  6. Step 6: Final answer
    x = 158,238.96

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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.