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Finding the Fourth Proportional to 277,037.64, 382,295.46 and 160,742.11

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Solution

The fourth proportional to 277,037.64, 382,295.46 and 160,742.11 is: 221,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,037.64 : 382,295.46 = 160,742.11 : x
  2. Step 2: Convert to fraction form
    277,037.64/382,295.46 = 160,742.11/x
  3. Step 3: Cross multiply
    277,037.64x = 382,295.46 × 160,742.11
  4. Step 4: Simplify right side
    277,037.64x = 61,450,978,883.82
  5. Step 5: Solve for x
    x = 61,450,978,883.82/277,037.64
  6. Step 6: Final answer
    x = 221,814.55

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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.