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Finding the Fourth Proportional to 189,075.63, 283,612.62 and 55,956.72

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Solution

The fourth proportional to 189,075.63, 283,612.62 and 55,956.72 is: 83,934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,075.63 : 283,612.62 = 55,956.72 : x
  2. Step 2: Convert to fraction form
    189,075.63/283,612.62 = 55,956.72/x
  3. Step 3: Cross multiply
    189,075.63x = 283,612.62 × 55,956.72
  4. Step 4: Simplify right side
    189,075.63x = 15,870,031,965.81
  5. Step 5: Solve for x
    x = 15,870,031,965.81/189,075.63
  6. Step 6: Final answer
    x = 83,934.84

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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.