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Finding the Fourth Proportional to 294,767.50, 442,244.71 and 105,223.80

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Solution

The fourth proportional to 294,767.50, 442,244.71 and 105,223.80 is: 157,869.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,767.50 : 442,244.71 = 105,223.80 : x
  2. Step 2: Convert to fraction form
    294,767.50/442,244.71 = 105,223.80/x
  3. Step 3: Cross multiply
    294,767.50x = 442,244.71 × 105,223.80
  4. Step 4: Simplify right side
    294,767.50x = 46,534,668,389.98
  5. Step 5: Solve for x
    x = 46,534,668,389.98/294,767.50
  6. Step 6: Final answer
    x = 157,869.06

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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.