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Finding the Fourth Proportional to 144,384.34, 216,613.40 and 55,614

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Solution

The fourth proportional to 144,384.34, 216,613.40 and 55,614 is: 83,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,384.34 : 216,613.40 = 55,614 : x
  2. Step 2: Convert to fraction form
    144,384.34/216,613.40 = 55,614/x
  3. Step 3: Cross multiply
    144,384.34x = 216,613.40 × 55,614
  4. Step 4: Simplify right side
    144,384.34x = 12,046,737,627.60
  5. Step 5: Solve for x
    x = 12,046,737,627.60/144,384.34
  6. Step 6: Final answer
    x = 83,435.21

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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.