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Finding the Fourth Proportional to 208,430.90, 287,733.83 and 139,638.82

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Solution

The fourth proportional to 208,430.90, 287,733.83 and 139,638.82 is: 192,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,430.90 : 287,733.83 = 139,638.82 : x
  2. Step 2: Convert to fraction form
    208,430.90/287,733.83 = 139,638.82/x
  3. Step 3: Cross multiply
    208,430.90x = 287,733.83 × 139,638.82
  4. Step 4: Simplify right side
    208,430.90x = 40,178,812,495.28
  5. Step 5: Solve for x
    x = 40,178,812,495.28/208,430.90
  6. Step 6: Final answer
    x = 192,768.02

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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.