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Finding the Fourth Proportional to 140,373.64, 210,322.86 and 84,853

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Solution

The fourth proportional to 140,373.64, 210,322.86 and 84,853 is: 127,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,373.64 : 210,322.86 = 84,853 : x
  2. Step 2: Convert to fraction form
    140,373.64/210,322.86 = 84,853/x
  3. Step 3: Cross multiply
    140,373.64x = 210,322.86 × 84,853
  4. Step 4: Simplify right side
    140,373.64x = 17,846,525,639.58
  5. Step 5: Solve for x
    x = 17,846,525,639.58/140,373.64
  6. Step 6: Final answer
    x = 127,135.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.