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Finding the Fourth Proportional to 208,548.30, 287,798.13 and 113,056.50

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Solution

The fourth proportional to 208,548.30, 287,798.13 and 113,056.50 is: 156,018.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,548.30 : 287,798.13 = 113,056.50 : x
  2. Step 2: Convert to fraction form
    208,548.30/287,798.13 = 113,056.50/x
  3. Step 3: Cross multiply
    208,548.30x = 287,798.13 × 113,056.50
  4. Step 4: Simplify right side
    208,548.30x = 32,537,449,284.35
  5. Step 5: Solve for x
    x = 32,537,449,284.35/208,548.30
  6. Step 6: Final answer
    x = 156,018.77

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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.