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Finding the Fourth Proportional to 282,970.36, 424,409.40 and 83,244.05

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Solution

The fourth proportional to 282,970.36, 424,409.40 and 83,244.05 is: 124,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,970.36 : 424,409.40 = 83,244.05 : x
  2. Step 2: Convert to fraction form
    282,970.36/424,409.40 = 83,244.05/x
  3. Step 3: Cross multiply
    282,970.36x = 424,409.40 × 83,244.05
  4. Step 4: Simplify right side
    282,970.36x = 35,329,557,314.07
  5. Step 5: Solve for x
    x = 35,329,557,314.07/282,970.36
  6. Step 6: Final answer
    x = 124,852.50

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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.