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Finding the Fourth Proportional to 102,462.98, 141,509.18 and 78,003

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Solution

The fourth proportional to 102,462.98, 141,509.18 and 78,003 is: 107,728.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,462.98 : 141,509.18 = 78,003 : x
  2. Step 2: Convert to fraction form
    102,462.98/141,509.18 = 78,003/x
  3. Step 3: Cross multiply
    102,462.98x = 141,509.18 × 78,003
  4. Step 4: Simplify right side
    102,462.98x = 11,038,140,323.78
  5. Step 5: Solve for x
    x = 11,038,140,323.78/102,462.98
  6. Step 6: Final answer
    x = 107,728.09

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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.