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Finding the Fourth Proportional to 210,194.40, 290,062.80 and 114,702.24

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Solution

The fourth proportional to 210,194.40, 290,062.80 and 114,702.24 is: 158,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,194.40 : 290,062.80 = 114,702.24 : x
  2. Step 2: Convert to fraction form
    210,194.40/290,062.80 = 114,702.24/x
  3. Step 3: Cross multiply
    210,194.40x = 290,062.80 × 114,702.24
  4. Step 4: Simplify right side
    210,194.40x = 33,270,852,900.67
  5. Step 5: Solve for x
    x = 33,270,852,900.67/210,194.40
  6. Step 6: Final answer
    x = 158,286.11

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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.