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Finding the Fourth Proportional to 291,199, 401,893.50 and 190,655.32

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Solution

The fourth proportional to 291,199, 401,893.50 and 190,655.32 is: 263,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,199 : 401,893.50 = 190,655.32 : x
  2. Step 2: Convert to fraction form
    291,199/401,893.50 = 190,655.32/x
  3. Step 3: Cross multiply
    291,199x = 401,893.50 × 190,655.32
  4. Step 4: Simplify right side
    291,199x = 76,623,133,848.42
  5. Step 5: Solve for x
    x = 76,623,133,848.42/291,199
  6. Step 6: Final answer
    x = 263,129.80

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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.