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Finding the Fourth Proportional to 321,907.23, 482,946.93 and 111,545.19

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Solution

The fourth proportional to 321,907.23, 482,946.93 and 111,545.19 is: 167,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,907.23 : 482,946.93 = 111,545.19 : x
  2. Step 2: Convert to fraction form
    321,907.23/482,946.93 = 111,545.19/x
  3. Step 3: Cross multiply
    321,907.23x = 482,946.93 × 111,545.19
  4. Step 4: Simplify right side
    321,907.23x = 53,870,407,066.77
  5. Step 5: Solve for x
    x = 53,870,407,066.77/321,907.23
  6. Step 6: Final answer
    x = 167,347.61

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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.