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Finding the Fourth Proportional to 201,102.32, 277,521.76 and 111,678.32

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Solution

The fourth proportional to 201,102.32, 277,521.76 and 111,678.32 is: 154,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,102.32 : 277,521.76 = 111,678.32 : x
  2. Step 2: Convert to fraction form
    201,102.32/277,521.76 = 111,678.32/x
  3. Step 3: Cross multiply
    201,102.32x = 277,521.76 × 111,678.32
  4. Step 4: Simplify right side
    201,102.32x = 30,993,163,920.24
  5. Step 5: Solve for x
    x = 30,993,163,920.24/201,102.32
  6. Step 6: Final answer
    x = 154,116.39

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1.5x scale

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.