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Finding the Fourth Proportional to 194,857.60, 291,703.20 and 183,323.20

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Solution

The fourth proportional to 194,857.60, 291,703.20 and 183,323.20 is: 274,436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,857.60 : 291,703.20 = 183,323.20 : x
  2. Step 2: Convert to fraction form
    194,857.60/291,703.20 = 183,323.20/x
  3. Step 3: Cross multiply
    194,857.60x = 291,703.20 × 183,323.20
  4. Step 4: Simplify right side
    194,857.60x = 53,475,964,074.24
  5. Step 5: Solve for x
    x = 53,475,964,074.24/194,857.60
  6. Step 6: Final answer
    x = 274,436.12

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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.