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Finding the Fourth Proportional to 147,506.85, 221,261.49 and 42,329.16

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Solution

The fourth proportional to 147,506.85, 221,261.49 and 42,329.16 is: 63,494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,506.85 : 221,261.49 = 42,329.16 : x
  2. Step 2: Convert to fraction form
    147,506.85/221,261.49 = 42,329.16/x
  3. Step 3: Cross multiply
    147,506.85x = 221,261.49 × 42,329.16
  4. Step 4: Simplify right side
    147,506.85x = 9,365,813,012.05
  5. Step 5: Solve for x
    x = 9,365,813,012.05/147,506.85
  6. Step 6: Final answer
    x = 63,494.09

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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.