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Finding the Fourth Proportional to 302,354, 453,535.36 and 105,362

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Solution

The fourth proportional to 302,354, 453,535.36 and 105,362 is: 158,044.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,354 : 453,535.36 = 105,362 : x
  2. Step 2: Convert to fraction form
    302,354/453,535.36 = 105,362/x
  3. Step 3: Cross multiply
    302,354x = 453,535.36 × 105,362
  4. Step 4: Simplify right side
    302,354x = 47,785,392,600.32
  5. Step 5: Solve for x
    x = 47,785,392,600.32/302,354
  6. Step 6: Final answer
    x = 158,044.52

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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.