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Finding the Fourth Proportional to 289,210.26, 433,873.98 and 102,352.98

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Solution

The fourth proportional to 289,210.26, 433,873.98 and 102,352.98 is: 153,550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,210.26 : 433,873.98 = 102,352.98 : x
  2. Step 2: Convert to fraction form
    289,210.26/433,873.98 = 102,352.98/x
  3. Step 3: Cross multiply
    289,210.26x = 433,873.98 × 102,352.98
  4. Step 4: Simplify right side
    289,210.26x = 44,408,294,797.46
  5. Step 5: Solve for x
    x = 44,408,294,797.46/289,210.26
  6. Step 6: Final answer
    x = 153,550.21

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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.