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Finding the Fourth Proportional to 282,970.23, 424,409.20 and 83,243.91

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Solution

The fourth proportional to 282,970.23, 424,409.20 and 83,243.91 is: 124,852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,970.23 : 424,409.20 = 83,243.91 : x
  2. Step 2: Convert to fraction form
    282,970.23/424,409.20 = 83,243.91/x
  3. Step 3: Cross multiply
    282,970.23x = 424,409.20 × 83,243.91
  4. Step 4: Simplify right side
    282,970.23x = 35,329,481,247.97
  5. Step 5: Solve for x
    x = 35,329,481,247.97/282,970.23
  6. Step 6: Final answer
    x = 124,852.29

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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.