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Finding the Fourth Proportional to 102,004.40, 153,006.60 and 94,714.40

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Solution

The fourth proportional to 102,004.40, 153,006.60 and 94,714.40 is: 142,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,004.40 : 153,006.60 = 94,714.40 : x
  2. Step 2: Convert to fraction form
    102,004.40/153,006.60 = 94,714.40/x
  3. Step 3: Cross multiply
    102,004.40x = 153,006.60 × 94,714.40
  4. Step 4: Simplify right side
    102,004.40x = 14,491,928,315.04
  5. Step 5: Solve for x
    x = 14,491,928,315.04/102,004.40
  6. Step 6: Final answer
    x = 142,071.60

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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.