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Finding the Fourth Proportional to 282,638.10, 423,908.55 and 105,053.70

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Solution

The fourth proportional to 282,638.10, 423,908.55 and 105,053.70 is: 157,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,638.10 : 423,908.55 = 105,053.70 : x
  2. Step 2: Convert to fraction form
    282,638.10/423,908.55 = 105,053.70/x
  3. Step 3: Cross multiply
    282,638.10x = 423,908.55 × 105,053.70
  4. Step 4: Simplify right side
    282,638.10x = 44,533,161,639.14
  5. Step 5: Solve for x
    x = 44,533,161,639.14/282,638.10
  6. Step 6: Final answer
    x = 157,562.49

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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.