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Finding the Fourth Proportional to 292,259.25, 403,317.77 and 158,123.25

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Solution

The fourth proportional to 292,259.25, 403,317.77 and 158,123.25 is: 218,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,259.25 : 403,317.77 = 158,123.25 : x
  2. Step 2: Convert to fraction form
    292,259.25/403,317.77 = 158,123.25/x
  3. Step 3: Cross multiply
    292,259.25x = 403,317.77 × 158,123.25
  4. Step 4: Simplify right side
    292,259.25x = 63,773,915,784.54
  5. Step 5: Solve for x
    x = 63,773,915,784.54/292,259.25
  6. Step 6: Final answer
    x = 218,210.09

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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.