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Finding the Fourth Proportional to 196,009.60, 270,485.76 and 106,585.60

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Solution

The fourth proportional to 196,009.60, 270,485.76 and 106,585.60 is: 147,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,009.60 : 270,485.76 = 106,585.60 : x
  2. Step 2: Convert to fraction form
    196,009.60/270,485.76 = 106,585.60/x
  3. Step 3: Cross multiply
    196,009.60x = 270,485.76 × 106,585.60
  4. Step 4: Simplify right side
    196,009.60x = 28,829,887,021.06
  5. Step 5: Solve for x
    x = 28,829,887,021.06/196,009.60
  6. Step 6: Final answer
    x = 147,084.06

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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.