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Finding the Fourth Proportional to 375,103.42, 562,415.16 and 162,010.24

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Solution

The fourth proportional to 375,103.42, 562,415.16 and 162,010.24 is: 242,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,103.42 : 562,415.16 = 162,010.24 : x
  2. Step 2: Convert to fraction form
    375,103.42/562,415.16 = 162,010.24/x
  3. Step 3: Cross multiply
    375,103.42x = 562,415.16 × 162,010.24
  4. Step 4: Simplify right side
    375,103.42x = 91,117,015,051.24
  5. Step 5: Solve for x
    x = 91,117,015,051.24/375,103.42
  6. Step 6: Final answer
    x = 242,911.71

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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.