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Finding the Fourth Proportional to 302,433, 453,649.50 and 105,441

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Solution

The fourth proportional to 302,433, 453,649.50 and 105,441 is: 158,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,433 : 453,649.50 = 105,441 : x
  2. Step 2: Convert to fraction form
    302,433/453,649.50 = 105,441/x
  3. Step 3: Cross multiply
    302,433x = 453,649.50 × 105,441
  4. Step 4: Simplify right side
    302,433x = 47,833,256,929.50
  5. Step 5: Solve for x
    x = 47,833,256,929.50/302,433
  6. Step 6: Final answer
    x = 158,161.50

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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.