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Finding the Fourth Proportional to 213,102.95, 294,073.47 and 117,608.40

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Solution

The fourth proportional to 213,102.95, 294,073.47 and 117,608.40 is: 162,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,102.95 : 294,073.47 = 117,608.40 : x
  2. Step 2: Convert to fraction form
    213,102.95/294,073.47 = 117,608.40/x
  3. Step 3: Cross multiply
    213,102.95x = 294,073.47 × 117,608.40
  4. Step 4: Simplify right side
    213,102.95x = 34,585,510,289.15
  5. Step 5: Solve for x
    x = 34,585,510,289.15/213,102.95
  6. Step 6: Final answer
    x = 162,294.85

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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.