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Finding the Fourth Proportional to 165,537, 247,714.74 and 143,426.16

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Solution

The fourth proportional to 165,537, 247,714.74 and 143,426.16 is: 214,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,537 : 247,714.74 = 143,426.16 : x
  2. Step 2: Convert to fraction form
    165,537/247,714.74 = 143,426.16/x
  3. Step 3: Cross multiply
    165,537x = 247,714.74 × 143,426.16
  4. Step 4: Simplify right side
    165,537x = 35,528,773,933.60
  5. Step 5: Solve for x
    x = 35,528,773,933.60/165,537
  6. Step 6: Final answer
    x = 214,627.39

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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.