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Finding the Fourth Proportional to 282,935.64, 424,445.56 and 93,416.03

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Solution

The fourth proportional to 282,935.64, 424,445.56 and 93,416.03 is: 140,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,935.64 : 424,445.56 = 93,416.03 : x
  2. Step 2: Convert to fraction form
    282,935.64/424,445.56 = 93,416.03/x
  3. Step 3: Cross multiply
    282,935.64x = 424,445.56 × 93,416.03
  4. Step 4: Simplify right side
    282,935.64x = 39,650,019,166.33
  5. Step 5: Solve for x
    x = 39,650,019,166.33/282,935.64
  6. Step 6: Final answer
    x = 140,137.95

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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.