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Finding the Fourth Proportional to 102,365.80, 153,548.70 and 76,121.80

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Solution

The fourth proportional to 102,365.80, 153,548.70 and 76,121.80 is: 114,182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,365.80 : 153,548.70 = 76,121.80 : x
  2. Step 2: Convert to fraction form
    102,365.80/153,548.70 = 76,121.80/x
  3. Step 3: Cross multiply
    102,365.80x = 153,548.70 × 76,121.80
  4. Step 4: Simplify right side
    102,365.80x = 11,688,403,431.66
  5. Step 5: Solve for x
    x = 11,688,403,431.66/102,365.80
  6. Step 6: Final answer
    x = 114,182.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.