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Finding the Fourth Proportional to 292,309.47, 403,386.44 and 158,173.47

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Solution

The fourth proportional to 292,309.47, 403,386.44 and 158,173.47 is: 218,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,309.47 : 403,386.44 = 158,173.47 : x
  2. Step 2: Convert to fraction form
    292,309.47/403,386.44 = 158,173.47/x
  3. Step 3: Cross multiply
    292,309.47x = 403,386.44 × 158,173.47
  4. Step 4: Simplify right side
    292,309.47x = 63,805,032,174.88
  5. Step 5: Solve for x
    x = 63,805,032,174.88/292,309.47
  6. Step 6: Final answer
    x = 218,279.05

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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.