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Finding the Fourth Proportional to 154,024.98, 231,059.36 and 47,417.84

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Solution

The fourth proportional to 154,024.98, 231,059.36 and 47,417.84 is: 71,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,024.98 : 231,059.36 = 47,417.84 : x
  2. Step 2: Convert to fraction form
    154,024.98/231,059.36 = 47,417.84/x
  3. Step 3: Cross multiply
    154,024.98x = 231,059.36 × 47,417.84
  4. Step 4: Simplify right side
    154,024.98x = 10,956,335,762.98
  5. Step 5: Solve for x
    x = 10,956,335,762.98/154,024.98
  6. Step 6: Final answer
    x = 71,133.50

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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.