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Finding the Fourth Proportional to 201,846.08, 278,569.32 and 111,211.22

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Solution

The fourth proportional to 201,846.08, 278,569.32 and 111,211.22 is: 153,483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,846.08 : 278,569.32 = 111,211.22 : x
  2. Step 2: Convert to fraction form
    201,846.08/278,569.32 = 111,211.22/x
  3. Step 3: Cross multiply
    201,846.08x = 278,569.32 × 111,211.22
  4. Step 4: Simplify right side
    201,846.08x = 30,980,033,931.77
  5. Step 5: Solve for x
    x = 30,980,033,931.77/201,846.08
  6. Step 6: Final answer
    x = 153,483.46

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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.