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Finding the Fourth Proportional to 252,693.64, 348,714.58 and 137,971.93

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Solution

The fourth proportional to 252,693.64, 348,714.58 and 137,971.93 is: 190,399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,693.64 : 348,714.58 = 137,971.93 : x
  2. Step 2: Convert to fraction form
    252,693.64/348,714.58 = 137,971.93/x
  3. Step 3: Cross multiply
    252,693.64x = 348,714.58 × 137,971.93
  4. Step 4: Simplify right side
    252,693.64x = 48,112,823,621.74
  5. Step 5: Solve for x
    x = 48,112,823,621.74/252,693.64
  6. Step 6: Final answer
    x = 190,399.82

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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.