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Finding the Fourth Proportional to 288,913.80, 433,292.94 and 101,901

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Solution

The fourth proportional to 288,913.80, 433,292.94 and 101,901 is: 152,824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,913.80 : 433,292.94 = 101,901 : x
  2. Step 2: Convert to fraction form
    288,913.80/433,292.94 = 101,901/x
  3. Step 3: Cross multiply
    288,913.80x = 433,292.94 × 101,901
  4. Step 4: Simplify right side
    288,913.80x = 44,152,983,878.94
  5. Step 5: Solve for x
    x = 44,152,983,878.94/288,913.80
  6. Step 6: Final answer
    x = 152,824.07

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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.