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Finding the Fourth Proportional to 280,127.50, 420,194.89 and 93,139

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Solution

The fourth proportional to 280,127.50, 420,194.89 and 93,139 is: 139,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,127.50 : 420,194.89 = 93,139 : x
  2. Step 2: Convert to fraction form
    280,127.50/420,194.89 = 93,139/x
  3. Step 3: Cross multiply
    280,127.50x = 420,194.89 × 93,139
  4. Step 4: Simplify right side
    280,127.50x = 39,136,531,859.71
  5. Step 5: Solve for x
    x = 39,136,531,859.71/280,127.50
  6. Step 6: Final answer
    x = 139,709.71

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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.