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Finding the Fourth Proportional to 294,160.86, 440,934.09 and 144,193.50

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Solution

The fourth proportional to 294,160.86, 440,934.09 and 144,193.50 is: 216,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,160.86 : 440,934.09 = 144,193.50 : x
  2. Step 2: Convert to fraction form
    294,160.86/440,934.09 = 144,193.50/x
  3. Step 3: Cross multiply
    294,160.86x = 440,934.09 × 144,193.50
  4. Step 4: Simplify right side
    294,160.86x = 63,579,829,706.42
  5. Step 5: Solve for x
    x = 63,579,829,706.42/294,160.86
  6. Step 6: Final answer
    x = 216,139.66

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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.