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Finding the Fourth Proportional to 129,036.40, 193,554.60 and 105,416.80

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Solution

The fourth proportional to 129,036.40, 193,554.60 and 105,416.80 is: 158,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,036.40 : 193,554.60 = 105,416.80 : x
  2. Step 2: Convert to fraction form
    129,036.40/193,554.60 = 105,416.80/x
  3. Step 3: Cross multiply
    129,036.40x = 193,554.60 × 105,416.80
  4. Step 4: Simplify right side
    129,036.40x = 20,403,906,557.28
  5. Step 5: Solve for x
    x = 20,403,906,557.28/129,036.40
  6. Step 6: Final answer
    x = 158,125.20

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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.