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Finding the Fourth Proportional to 202,096.40, 278,894.40 and 111,455.60

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Solution

The fourth proportional to 202,096.40, 278,894.40 and 111,455.60 is: 153,809.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,096.40 : 278,894.40 = 111,455.60 : x
  2. Step 2: Convert to fraction form
    202,096.40/278,894.40 = 111,455.60/x
  3. Step 3: Cross multiply
    202,096.40x = 278,894.40 × 111,455.60
  4. Step 4: Simplify right side
    202,096.40x = 31,084,342,688.64
  5. Step 5: Solve for x
    x = 31,084,342,688.64/202,096.40
  6. Step 6: Final answer
    x = 153,809.48

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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.