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Finding the Fourth Proportional to 188,989.52, 283,477.17 and 46,835.20

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Solution

The fourth proportional to 188,989.52, 283,477.17 and 46,835.20 is: 70,251.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,989.52 : 283,477.17 = 46,835.20 : x
  2. Step 2: Convert to fraction form
    188,989.52/283,477.17 = 46,835.20/x
  3. Step 3: Cross multiply
    188,989.52x = 283,477.17 × 46,835.20
  4. Step 4: Simplify right side
    188,989.52x = 13,276,710,482.36
  5. Step 5: Solve for x
    x = 13,276,710,482.36/188,989.52
  6. Step 6: Final answer
    x = 70,251.04

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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.