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Finding the Fourth Proportional to 177,805, 266,707.50 and 46,477

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Solution

The fourth proportional to 177,805, 266,707.50 and 46,477 is: 69,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,805 : 266,707.50 = 46,477 : x
  2. Step 2: Convert to fraction form
    177,805/266,707.50 = 46,477/x
  3. Step 3: Cross multiply
    177,805x = 266,707.50 × 46,477
  4. Step 4: Simplify right side
    177,805x = 12,395,764,477.50
  5. Step 5: Solve for x
    x = 12,395,764,477.50/177,805
  6. Step 6: Final answer
    x = 69,715.50

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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.