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Finding the Fourth Proportional to 102,460.96, 153,714.12 and 40,132

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Solution

The fourth proportional to 102,460.96, 153,714.12 and 40,132 is: 60,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,460.96 : 153,714.12 = 40,132 : x
  2. Step 2: Convert to fraction form
    102,460.96/153,714.12 = 40,132/x
  3. Step 3: Cross multiply
    102,460.96x = 153,714.12 × 40,132
  4. Step 4: Simplify right side
    102,460.96x = 6,168,855,063.84
  5. Step 5: Solve for x
    x = 6,168,855,063.84/102,460.96
  6. Step 6: Final answer
    x = 60,206.88

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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.