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Finding the Fourth Proportional to 401,703.82, 602,553.12 and 102,181.84

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Solution

The fourth proportional to 401,703.82, 602,553.12 and 102,181.84 is: 153,272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,703.82 : 602,553.12 = 102,181.84 : x
  2. Step 2: Convert to fraction form
    401,703.82/602,553.12 = 102,181.84/x
  3. Step 3: Cross multiply
    401,703.82x = 602,553.12 × 102,181.84
  4. Step 4: Simplify right side
    401,703.82x = 61,569,986,499.34
  5. Step 5: Solve for x
    x = 61,569,986,499.34/401,703.82
  6. Step 6: Final answer
    x = 153,272.10

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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.