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Finding the Fourth Proportional to 148,847.40, 223,271.10 and 146,255.40

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Solution

The fourth proportional to 148,847.40, 223,271.10 and 146,255.40 is: 219,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,847.40 : 223,271.10 = 146,255.40 : x
  2. Step 2: Convert to fraction form
    148,847.40/223,271.10 = 146,255.40/x
  3. Step 3: Cross multiply
    148,847.40x = 223,271.10 × 146,255.40
  4. Step 4: Simplify right side
    148,847.40x = 32,654,604,038.94
  5. Step 5: Solve for x
    x = 32,654,604,038.94/148,847.40
  6. Step 6: Final answer
    x = 219,383.10

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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.