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Finding the Fourth Proportional to 177,483, 266,224.50 and 46,155

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Solution

The fourth proportional to 177,483, 266,224.50 and 46,155 is: 69,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,483 : 266,224.50 = 46,155 : x
  2. Step 2: Convert to fraction form
    177,483/266,224.50 = 46,155/x
  3. Step 3: Cross multiply
    177,483x = 266,224.50 × 46,155
  4. Step 4: Simplify right side
    177,483x = 12,287,591,797.50
  5. Step 5: Solve for x
    x = 12,287,591,797.50/177,483
  6. Step 6: Final answer
    x = 69,232.50

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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.