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Finding the Fourth Proportional to 294,916.50, 442,262.25 and 105,341.58

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Solution

The fourth proportional to 294,916.50, 442,262.25 and 105,341.58 is: 157,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,916.50 : 442,262.25 = 105,341.58 : x
  2. Step 2: Convert to fraction form
    294,916.50/442,262.25 = 105,341.58/x
  3. Step 3: Cross multiply
    294,916.50x = 442,262.25 × 105,341.58
  4. Step 4: Simplify right side
    294,916.50x = 46,588,604,189.36
  5. Step 5: Solve for x
    x = 46,588,604,189.36/294,916.50
  6. Step 6: Final answer
    x = 157,972.19

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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.