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Finding the Fourth Proportional to 148,520.70, 205,038.21 and 114,704.22

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Solution

The fourth proportional to 148,520.70, 205,038.21 and 114,704.22 is: 158,353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,520.70 : 205,038.21 = 114,704.22 : x
  2. Step 2: Convert to fraction form
    148,520.70/205,038.21 = 114,704.22/x
  3. Step 3: Cross multiply
    148,520.70x = 205,038.21 × 114,704.22
  4. Step 4: Simplify right side
    148,520.70x = 23,518,747,948.25
  5. Step 5: Solve for x
    x = 23,518,747,948.25/148,520.70
  6. Step 6: Final answer
    x = 158,353.33

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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.