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Finding the Fourth Proportional to 152,814.70, 229,222.05 and 103,048.30

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Solution

The fourth proportional to 152,814.70, 229,222.05 and 103,048.30 is: 154,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,814.70 : 229,222.05 = 103,048.30 : x
  2. Step 2: Convert to fraction form
    152,814.70/229,222.05 = 103,048.30/x
  3. Step 3: Cross multiply
    152,814.70x = 229,222.05 × 103,048.30
  4. Step 4: Simplify right side
    152,814.70x = 23,620,942,575.02
  5. Step 5: Solve for x
    x = 23,620,942,575.02/152,814.70
  6. Step 6: Final answer
    x = 154,572.45

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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.