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Finding the Fourth Proportional to 209,204.40, 288,702.44 and 113,710.84

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Solution

The fourth proportional to 209,204.40, 288,702.44 and 113,710.84 is: 156,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,204.40 : 288,702.44 = 113,710.84 : x
  2. Step 2: Convert to fraction form
    209,204.40/288,702.44 = 113,710.84/x
  3. Step 3: Cross multiply
    209,204.40x = 288,702.44 × 113,710.84
  4. Step 4: Simplify right side
    209,204.40x = 32,828,596,962.45
  5. Step 5: Solve for x
    x = 32,828,596,962.45/209,204.40
  6. Step 6: Final answer
    x = 156,921.16

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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.