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Finding the Fourth Proportional to 242,436.84, 334,390.50 and 161,823.72

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Solution

The fourth proportional to 242,436.84, 334,390.50 and 161,823.72 is: 223,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,436.84 : 334,390.50 = 161,823.72 : x
  2. Step 2: Convert to fraction form
    242,436.84/334,390.50 = 161,823.72/x
  3. Step 3: Cross multiply
    242,436.84x = 334,390.50 × 161,823.72
  4. Step 4: Simplify right side
    242,436.84x = 54,112,314,642.66
  5. Step 5: Solve for x
    x = 54,112,314,642.66/242,436.84
  6. Step 6: Final answer
    x = 223,201.70

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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.