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Finding the Fourth Proportional to 282,970.06, 424,308.98 and 83,264.48

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Solution

The fourth proportional to 282,970.06, 424,308.98 and 83,264.48 is: 124,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,970.06 : 424,308.98 = 83,264.48 : x
  2. Step 2: Convert to fraction form
    282,970.06/424,308.98 = 83,264.48/x
  3. Step 3: Cross multiply
    282,970.06x = 424,308.98 × 83,264.48
  4. Step 4: Simplify right side
    282,970.06x = 35,329,866,579.03
  5. Step 5: Solve for x
    x = 35,329,866,579.03/282,970.06
  6. Step 6: Final answer
    x = 124,853.73

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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.