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Finding the Fourth Proportional to 252,714.74, 348,746.31 and 145,305.90

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Solution

The fourth proportional to 252,714.74, 348,746.31 and 145,305.90 is: 200,522.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,714.74 : 348,746.31 = 145,305.90 : x
  2. Step 2: Convert to fraction form
    252,714.74/348,746.31 = 145,305.90/x
  3. Step 3: Cross multiply
    252,714.74x = 348,746.31 × 145,305.90
  4. Step 4: Simplify right side
    252,714.74x = 50,674,896,446.23
  5. Step 5: Solve for x
    x = 50,674,896,446.23/252,714.74
  6. Step 6: Final answer
    x = 200,522.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.