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Finding the Fourth Proportional to 208,888.64, 288,258.40 and 113,393.28

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Solution

The fourth proportional to 208,888.64, 288,258.40 and 113,393.28 is: 156,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,888.64 : 288,258.40 = 113,393.28 : x
  2. Step 2: Convert to fraction form
    208,888.64/288,258.40 = 113,393.28/x
  3. Step 3: Cross multiply
    208,888.64x = 288,258.40 × 113,393.28
  4. Step 4: Simplify right side
    208,888.64x = 32,686,565,463.55
  5. Step 5: Solve for x
    x = 32,686,565,463.55/208,888.64
  6. Step 6: Final answer
    x = 156,478.43

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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.