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Finding the Fourth Proportional to 147,152.94, 220,762.32 and 53,658.69

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Solution

The fourth proportional to 147,152.94, 220,762.32 and 53,658.69 is: 80,500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,152.94 : 220,762.32 = 53,658.69 : x
  2. Step 2: Convert to fraction form
    147,152.94/220,762.32 = 53,658.69/x
  3. Step 3: Cross multiply
    147,152.94x = 220,762.32 × 53,658.69
  4. Step 4: Simplify right side
    147,152.94x = 11,845,816,624.27
  5. Step 5: Solve for x
    x = 11,845,816,624.27/147,152.94
  6. Step 6: Final answer
    x = 80,500.03

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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.