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Finding the Fourth Proportional to 520,101.18, 780,178.50 and 146,153.34

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Solution

The fourth proportional to 520,101.18, 780,178.50 and 146,153.34 is: 219,237.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,101.18 : 780,178.50 = 146,153.34 : x
  2. Step 2: Convert to fraction form
    520,101.18/780,178.50 = 146,153.34/x
  3. Step 3: Cross multiply
    520,101.18x = 780,178.50 × 146,153.34
  4. Step 4: Simplify right side
    520,101.18x = 114,025,693,571.19
  5. Step 5: Solve for x
    x = 114,025,693,571.19/520,101.18
  6. Step 6: Final answer
    x = 219,237.52

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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.