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Finding the Fourth Proportional to 289,293.16, 434,005.14 and 156,170.56

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Solution

The fourth proportional to 289,293.16, 434,005.14 and 156,170.56 is: 234,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,293.16 : 434,005.14 = 156,170.56 : x
  2. Step 2: Convert to fraction form
    289,293.16/434,005.14 = 156,170.56/x
  3. Step 3: Cross multiply
    289,293.16x = 434,005.14 × 156,170.56
  4. Step 4: Simplify right side
    289,293.16x = 67,778,825,756.68
  5. Step 5: Solve for x
    x = 67,778,825,756.68/289,293.16
  6. Step 6: Final answer
    x = 234,291.15

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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.