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Finding the Fourth Proportional to 159,153.66, 238,690.80 and 46,811.52

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Solution

The fourth proportional to 159,153.66, 238,690.80 and 46,811.52 is: 70,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,153.66 : 238,690.80 = 46,811.52 : x
  2. Step 2: Convert to fraction form
    159,153.66/238,690.80 = 46,811.52/x
  3. Step 3: Cross multiply
    159,153.66x = 238,690.80 × 46,811.52
  4. Step 4: Simplify right side
    159,153.66x = 11,173,479,158.02
  5. Step 5: Solve for x
    x = 11,173,479,158.02/159,153.66
  6. Step 6: Final answer
    x = 70,205.61

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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.