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Finding the Fourth Proportional to 509,114.46, 763,671.01 and 130,035.60

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Solution

The fourth proportional to 509,114.46, 763,671.01 and 130,035.60 is: 195,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,114.46 : 763,671.01 = 130,035.60 : x
  2. Step 2: Convert to fraction form
    509,114.46/763,671.01 = 130,035.60/x
  3. Step 3: Cross multiply
    509,114.46x = 763,671.01 × 130,035.60
  4. Step 4: Simplify right side
    509,114.46x = 99,304,420,420.23
  5. Step 5: Solve for x
    x = 99,304,420,420.23/509,114.46
  6. Step 6: Final answer
    x = 195,053.23

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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.