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Finding the Fourth Proportional to 292,269.75, 403,332.26 and 158,133.75

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Solution

The fourth proportional to 292,269.75, 403,332.26 and 158,133.75 is: 218,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,269.75 : 403,332.26 = 158,133.75 : x
  2. Step 2: Convert to fraction form
    292,269.75/403,332.26 = 158,133.75/x
  3. Step 3: Cross multiply
    292,269.75x = 403,332.26 × 158,133.75
  4. Step 4: Simplify right side
    292,269.75x = 63,780,441,979.11
  5. Step 5: Solve for x
    x = 63,780,441,979.11/292,269.75
  6. Step 6: Final answer
    x = 218,224.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.