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Finding the Fourth Proportional to 190,509.57, 262,957.59 and 117,932.76

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Solution

The fourth proportional to 190,509.57, 262,957.59 and 117,932.76 is: 162,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,509.57 : 262,957.59 = 117,932.76 : x
  2. Step 2: Convert to fraction form
    190,509.57/262,957.59 = 117,932.76/x
  3. Step 3: Cross multiply
    190,509.57x = 262,957.59 × 117,932.76
  4. Step 4: Simplify right side
    190,509.57x = 31,011,314,351.65
  5. Step 5: Solve for x
    x = 31,011,314,351.65/190,509.57
  6. Step 6: Final answer
    x = 162,780.87

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1.5x scale

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.