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Finding the Fourth Proportional to 208,527.64, 287,760.40 and 113,032.28

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Solution

The fourth proportional to 208,527.64, 287,760.40 and 113,032.28 is: 155,980.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,527.64 : 287,760.40 = 113,032.28 : x
  2. Step 2: Convert to fraction form
    208,527.64/287,760.40 = 113,032.28/x
  3. Step 3: Cross multiply
    208,527.64x = 287,760.40 × 113,032.28
  4. Step 4: Simplify right side
    208,527.64x = 32,526,214,542.53
  5. Step 5: Solve for x
    x = 32,526,214,542.53/208,527.64
  6. Step 6: Final answer
    x = 155,980.35

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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.