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Finding the Fourth Proportional to 208,134.36, 287,238.29 and 117,457.16

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Solution

The fourth proportional to 208,134.36, 287,238.29 and 117,457.16 is: 162,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,134.36 : 287,238.29 = 117,457.16 : x
  2. Step 2: Convert to fraction form
    208,134.36/287,238.29 = 117,457.16/x
  3. Step 3: Cross multiply
    208,134.36x = 287,238.29 × 117,457.16
  4. Step 4: Simplify right side
    208,134.36x = 33,738,191,763.18
  5. Step 5: Solve for x
    x = 33,738,191,763.18/208,134.36
  6. Step 6: Final answer
    x = 162,098.14

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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.