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Finding the Fourth Proportional to 282,969.05, 424,307.48 and 83,263.48

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Solution

The fourth proportional to 282,969.05, 424,307.48 and 83,263.48 is: 124,852.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,969.05 : 424,307.48 = 83,263.48 : x
  2. Step 2: Convert to fraction form
    282,969.05/424,307.48 = 83,263.48/x
  3. Step 3: Cross multiply
    282,969.05x = 424,307.48 × 83,263.48
  4. Step 4: Simplify right side
    282,969.05x = 35,329,317,374.83
  5. Step 5: Solve for x
    x = 35,329,317,374.83/282,969.05
  6. Step 6: Final answer
    x = 124,852.23

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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.