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Finding the Fourth Proportional to 201,006.76, 277,378.50 and 111,577

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Solution

The fourth proportional to 201,006.76, 277,378.50 and 111,577 is: 153,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,006.76 : 277,378.50 = 111,577 : x
  2. Step 2: Convert to fraction form
    201,006.76/277,378.50 = 111,577/x
  3. Step 3: Cross multiply
    201,006.76x = 277,378.50 × 111,577
  4. Step 4: Simplify right side
    201,006.76x = 30,949,060,894.50
  5. Step 5: Solve for x
    x = 30,949,060,894.50/201,006.76
  6. Step 6: Final answer
    x = 153,970.25

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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.