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Finding the Fourth Proportional to 282,402, 389,802.24 and 181,800

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Solution

The fourth proportional to 282,402, 389,802.24 and 181,800 is: 250,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,402 : 389,802.24 = 181,800 : x
  2. Step 2: Convert to fraction form
    282,402/389,802.24 = 181,800/x
  3. Step 3: Cross multiply
    282,402x = 389,802.24 × 181,800
  4. Step 4: Simplify right side
    282,402x = 70,866,047,232
  5. Step 5: Solve for x
    x = 70,866,047,232/282,402
  6. Step 6: Final answer
    x = 250,940.32

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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.