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Finding the Fourth Proportional to 102,802.20, 154,106.10 and 60,714.60

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Solution

The fourth proportional to 102,802.20, 154,106.10 and 60,714.60 is: 91,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,802.20 : 154,106.10 = 60,714.60 : x
  2. Step 2: Convert to fraction form
    102,802.20/154,106.10 = 60,714.60/x
  3. Step 3: Cross multiply
    102,802.20x = 154,106.10 × 60,714.60
  4. Step 4: Simplify right side
    102,802.20x = 9,356,490,219.06
  5. Step 5: Solve for x
    x = 9,356,490,219.06/102,802.20
  6. Step 6: Final answer
    x = 91,014.49

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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.