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Finding the Fourth Proportional to 289,329.68, 434,060.76 and 111,838.16

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Solution

The fourth proportional to 289,329.68, 434,060.76 and 111,838.16 is: 167,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,329.68 : 434,060.76 = 111,838.16 : x
  2. Step 2: Convert to fraction form
    289,329.68/434,060.76 = 111,838.16/x
  3. Step 3: Cross multiply
    289,329.68x = 434,060.76 × 111,838.16
  4. Step 4: Simplify right side
    289,329.68x = 48,544,556,726.60
  5. Step 5: Solve for x
    x = 48,544,556,726.60/289,329.68
  6. Step 6: Final answer
    x = 167,782.84

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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.