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Finding the Fourth Proportional to 193,641.76, 290,492.16 and 98,820.24

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Solution

The fourth proportional to 193,641.76, 290,492.16 and 98,820.24 is: 148,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,641.76 : 290,492.16 = 98,820.24 : x
  2. Step 2: Convert to fraction form
    193,641.76/290,492.16 = 98,820.24/x
  3. Step 3: Cross multiply
    193,641.76x = 290,492.16 × 98,820.24
  4. Step 4: Simplify right side
    193,641.76x = 28,706,504,969.32
  5. Step 5: Solve for x
    x = 28,706,504,969.32/193,641.76
  6. Step 6: Final answer
    x = 148,245.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.