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Finding the Fourth Proportional to 277,356.40, 382,798.79 and 161,051.74

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Solution

The fourth proportional to 277,356.40, 382,798.79 and 161,051.74 is: 222,278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,356.40 : 382,798.79 = 161,051.74 : x
  2. Step 2: Convert to fraction form
    277,356.40/382,798.79 = 161,051.74/x
  3. Step 3: Cross multiply
    277,356.40x = 382,798.79 × 161,051.74
  4. Step 4: Simplify right side
    277,356.40x = 61,650,411,741.37
  5. Step 5: Solve for x
    x = 61,650,411,741.37/277,356.40
  6. Step 6: Final answer
    x = 222,278.67

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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.