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Finding the Fourth Proportional to 182,282, 273,544.50 and 70,054.88

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Solution

The fourth proportional to 182,282, 273,544.50 and 70,054.88 is: 105,129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,282 : 273,544.50 = 70,054.88 : x
  2. Step 2: Convert to fraction form
    182,282/273,544.50 = 70,054.88/x
  3. Step 3: Cross multiply
    182,282x = 273,544.50 × 70,054.88
  4. Step 4: Simplify right side
    182,282x = 19,163,127,122.16
  5. Step 5: Solve for x
    x = 19,163,127,122.16/182,282
  6. Step 6: Final answer
    x = 105,129.02

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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.