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Finding the Fourth Proportional to 277,082.10, 382,365.63 and 156,222.32

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Solution

The fourth proportional to 277,082.10, 382,365.63 and 156,222.32 is: 215,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,082.10 : 382,365.63 = 156,222.32 : x
  2. Step 2: Convert to fraction form
    277,082.10/382,365.63 = 156,222.32/x
  3. Step 3: Cross multiply
    277,082.10x = 382,365.63 × 156,222.32
  4. Step 4: Simplify right side
    277,082.10x = 59,734,043,895.03
  5. Step 5: Solve for x
    x = 59,734,043,895.03/277,082.10
  6. Step 6: Final answer
    x = 215,582.47

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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.