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Finding the Fourth Proportional to 255,447.09, 382,776.44 and 161,756.01

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Solution

The fourth proportional to 255,447.09, 382,776.44 and 161,756.01 is: 242,384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,447.09 : 382,776.44 = 161,756.01 : x
  2. Step 2: Convert to fraction form
    255,447.09/382,776.44 = 161,756.01/x
  3. Step 3: Cross multiply
    255,447.09x = 382,776.44 × 161,756.01
  4. Step 4: Simplify right side
    255,447.09x = 61,916,388,847.62
  5. Step 5: Solve for x
    x = 61,916,388,847.62/255,447.09
  6. Step 6: Final answer
    x = 242,384.40

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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.