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Finding the Fourth Proportional to 292,035.45, 438,051.21 and 157,163.00

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Solution

The fourth proportional to 292,035.45, 438,051.21 and 157,163.00 is: 235,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,035.45 : 438,051.21 = 157,163.00 : x
  2. Step 2: Convert to fraction form
    292,035.45/438,051.21 = 157,163.00/x
  3. Step 3: Cross multiply
    292,035.45x = 438,051.21 × 157,163.00
  4. Step 4: Simplify right side
    292,035.45x = 68,845,439,537.61
  5. Step 5: Solve for x
    x = 68,845,439,537.61/292,035.45
  6. Step 6: Final answer
    x = 235,743.43

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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.