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Finding the Fourth Proportional to 277,438.37, 382,835.63 and 161,129.12

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Solution

The fourth proportional to 277,438.37, 382,835.63 and 161,129.12 is: 222,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,438.37 : 382,835.63 = 161,129.12 : x
  2. Step 2: Convert to fraction form
    277,438.37/382,835.63 = 161,129.12/x
  3. Step 3: Cross multiply
    277,438.37x = 382,835.63 × 161,129.12
  4. Step 4: Simplify right side
    277,438.37x = 61,685,966,655.19
  5. Step 5: Solve for x
    x = 61,685,966,655.19/277,438.37
  6. Step 6: Final answer
    x = 222,341.16

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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.