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Finding the Fourth Proportional to 102,549.60, 153,824.40 and 94,676.40

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Solution

The fourth proportional to 102,549.60, 153,824.40 and 94,676.40 is: 142,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,549.60 : 153,824.40 = 94,676.40 : x
  2. Step 2: Convert to fraction form
    102,549.60/153,824.40 = 94,676.40/x
  3. Step 3: Cross multiply
    102,549.60x = 153,824.40 × 94,676.40
  4. Step 4: Simplify right side
    102,549.60x = 14,563,540,424.16
  5. Step 5: Solve for x
    x = 14,563,540,424.16/102,549.60
  6. Step 6: Final answer
    x = 142,014.60

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Why These Related Problems?

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