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Finding the Fourth Proportional to 282,991.56, 424,488.02 and 83,314.35

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Solution

The fourth proportional to 282,991.56, 424,488.02 and 83,314.35 is: 124,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,991.56 : 424,488.02 = 83,314.35 : x
  2. Step 2: Convert to fraction form
    282,991.56/424,488.02 = 83,314.35/x
  3. Step 3: Cross multiply
    282,991.56x = 424,488.02 × 83,314.35
  4. Step 4: Simplify right side
    282,991.56x = 35,365,943,052.52
  5. Step 5: Solve for x
    x = 35,365,943,052.52/282,991.56
  6. Step 6: Final answer
    x = 124,971.72

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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.