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Finding the Fourth Proportional to 102,409.20, 153,613.80 and 94,114.80

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Solution

The fourth proportional to 102,409.20, 153,613.80 and 94,114.80 is: 141,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,409.20 : 153,613.80 = 94,114.80 : x
  2. Step 2: Convert to fraction form
    102,409.20/153,613.80 = 94,114.80/x
  3. Step 3: Cross multiply
    102,409.20x = 153,613.80 × 94,114.80
  4. Step 4: Simplify right side
    102,409.20x = 14,457,332,064.24
  5. Step 5: Solve for x
    x = 14,457,332,064.24/102,409.20
  6. Step 6: Final answer
    x = 141,172.20

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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.