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Finding the Fourth Proportional to 292,140.56, 403,153.92 and 158,004.56

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Solution

The fourth proportional to 292,140.56, 403,153.92 and 158,004.56 is: 218,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,140.56 : 403,153.92 = 158,004.56 : x
  2. Step 2: Convert to fraction form
    292,140.56/403,153.92 = 158,004.56/x
  3. Step 3: Cross multiply
    292,140.56x = 403,153.92 × 158,004.56
  4. Step 4: Simplify right side
    292,140.56x = 63,700,157,741.88
  5. Step 5: Solve for x
    x = 63,700,157,741.88/292,140.56
  6. Step 6: Final answer
    x = 218,046.26

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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.