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Finding the Fourth Proportional to 210,075.27, 289,928.38 and 119,444.82

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Solution

The fourth proportional to 210,075.27, 289,928.38 and 119,444.82 is: 164,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,075.27 : 289,928.38 = 119,444.82 : x
  2. Step 2: Convert to fraction form
    210,075.27/289,928.38 = 119,444.82/x
  3. Step 3: Cross multiply
    210,075.27x = 289,928.38 × 119,444.82
  4. Step 4: Simplify right side
    210,075.27x = 34,630,441,712.35
  5. Step 5: Solve for x
    x = 34,630,441,712.35/210,075.27
  6. Step 6: Final answer
    x = 164,847.78

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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.