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Finding the Fourth Proportional to 102,912, 142,018.56 and 55,808

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Solution

The fourth proportional to 102,912, 142,018.56 and 55,808 is: 77,015.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,912 : 142,018.56 = 55,808 : x
  2. Step 2: Convert to fraction form
    102,912/142,018.56 = 55,808/x
  3. Step 3: Cross multiply
    102,912x = 142,018.56 × 55,808
  4. Step 4: Simplify right side
    102,912x = 7,925,771,796.48
  5. Step 5: Solve for x
    x = 7,925,771,796.48/102,912
  6. Step 6: Final answer
    x = 77,015.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.