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Finding the Fourth Proportional to 348,005.14, 480,280.80 and 195,069.31

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Solution

The fourth proportional to 348,005.14, 480,280.80 and 195,069.31 is: 269,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,005.14 : 480,280.80 = 195,069.31 : x
  2. Step 2: Convert to fraction form
    348,005.14/480,280.80 = 195,069.31/x
  3. Step 3: Cross multiply
    348,005.14x = 480,280.80 × 195,069.31
  4. Step 4: Simplify right side
    348,005.14x = 93,688,044,262.25
  5. Step 5: Solve for x
    x = 93,688,044,262.25/348,005.14
  6. Step 6: Final answer
    x = 269,214.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.