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Finding the Fourth Proportional to 201,700.86, 278,344.89 and 111,054.93

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Solution

The fourth proportional to 201,700.86, 278,344.89 and 111,054.93 is: 153,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,700.86 : 278,344.89 = 111,054.93 : x
  2. Step 2: Convert to fraction form
    201,700.86/278,344.89 = 111,054.93/x
  3. Step 3: Cross multiply
    201,700.86x = 278,344.89 × 111,054.93
  4. Step 4: Simplify right side
    201,700.86x = 30,911,572,274.81
  5. Step 5: Solve for x
    x = 30,911,572,274.81/201,700.86
  6. Step 6: Final answer
    x = 153,254.54

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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.