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Finding the Fourth Proportional to 102,540.40, 153,810.60 and 77,657.20

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Solution

The fourth proportional to 102,540.40, 153,810.60 and 77,657.20 is: 116,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,540.40 : 153,810.60 = 77,657.20 : x
  2. Step 2: Convert to fraction form
    102,540.40/153,810.60 = 77,657.20/x
  3. Step 3: Cross multiply
    102,540.40x = 153,810.60 × 77,657.20
  4. Step 4: Simplify right side
    102,540.40x = 11,944,500,526.32
  5. Step 5: Solve for x
    x = 11,944,500,526.32/102,540.40
  6. Step 6: Final answer
    x = 116,485.80

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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.