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Finding the Fourth Proportional to 520,085.18, 780,154.50 and 146,137.34

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Solution

The fourth proportional to 520,085.18, 780,154.50 and 146,137.34 is: 219,213.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,085.18 : 780,154.50 = 146,137.34 : x
  2. Step 2: Convert to fraction form
    520,085.18/780,154.50 = 146,137.34/x
  3. Step 3: Cross multiply
    520,085.18x = 780,154.50 × 146,137.34
  4. Step 4: Simplify right side
    520,085.18x = 114,009,703,419.03
  5. Step 5: Solve for x
    x = 114,009,703,419.03/520,085.18
  6. Step 6: Final answer
    x = 219,213.52

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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.