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Finding the Fourth Proportional to 102,423.60, 153,635.40 and 84,927.60

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Solution

The fourth proportional to 102,423.60, 153,635.40 and 84,927.60 is: 127,391.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,423.60 : 153,635.40 = 84,927.60 : x
  2. Step 2: Convert to fraction form
    102,423.60/153,635.40 = 84,927.60/x
  3. Step 3: Cross multiply
    102,423.60x = 153,635.40 × 84,927.60
  4. Step 4: Simplify right side
    102,423.60x = 13,047,885,797.04
  5. Step 5: Solve for x
    x = 13,047,885,797.04/102,423.60
  6. Step 6: Final answer
    x = 127,391.40

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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.