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Finding the Fourth Proportional to 210,116.84, 289,960.85 and 114,623.53

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Solution

The fourth proportional to 210,116.84, 289,960.85 and 114,623.53 is: 158,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,116.84 : 289,960.85 = 114,623.53 : x
  2. Step 2: Convert to fraction form
    210,116.84/289,960.85 = 114,623.53/x
  3. Step 3: Cross multiply
    210,116.84x = 289,960.85 × 114,623.53
  4. Step 4: Simplify right side
    210,116.84x = 33,236,335,750.46
  5. Step 5: Solve for x
    x = 33,236,335,750.46/210,116.84
  6. Step 6: Final answer
    x = 158,180.26

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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.