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Finding the Fourth Proportional to 282,712.64, 424,089.54 and 105,219.59

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Solution

The fourth proportional to 282,712.64, 424,089.54 and 105,219.59 is: 157,837.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,712.64 : 424,089.54 = 105,219.59 : x
  2. Step 2: Convert to fraction form
    282,712.64/424,089.54 = 105,219.59/x
  3. Step 3: Cross multiply
    282,712.64x = 424,089.54 × 105,219.59
  4. Step 4: Simplify right side
    282,712.64x = 44,622,525,401.64
  5. Step 5: Solve for x
    x = 44,622,525,401.64/282,712.64
  6. Step 6: Final answer
    x = 157,837.04

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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.