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Finding the Fourth Proportional to 201,712.77, 278,352.67 and 111,051.54

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Solution

The fourth proportional to 201,712.77, 278,352.67 and 111,051.54 is: 153,245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,712.77 : 278,352.67 = 111,051.54 : x
  2. Step 2: Convert to fraction form
    201,712.77/278,352.67 = 111,051.54/x
  3. Step 3: Cross multiply
    201,712.77x = 278,352.67 × 111,051.54
  4. Step 4: Simplify right side
    201,712.77x = 30,911,492,666.61
  5. Step 5: Solve for x
    x = 30,911,492,666.61/201,712.77
  6. Step 6: Final answer
    x = 153,245.10

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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.