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Finding the Fourth Proportional to 282,714.40, 424,141.31 and 140,627.06

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Solution

The fourth proportional to 282,714.40, 424,141.31 and 140,627.06 is: 210,975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,714.40 : 424,141.31 = 140,627.06 : x
  2. Step 2: Convert to fraction form
    282,714.40/424,141.31 = 140,627.06/x
  3. Step 3: Cross multiply
    282,714.40x = 424,141.31 × 140,627.06
  4. Step 4: Simplify right side
    282,714.40x = 59,645,746,464.14
  5. Step 5: Solve for x
    x = 59,645,746,464.14/282,714.40
  6. Step 6: Final answer
    x = 210,975.27

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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.