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Finding the Fourth Proportional to 282,282, 389,553.74 and 153,223.04

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Solution

The fourth proportional to 282,282, 389,553.74 and 153,223.04 is: 211,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,282 : 389,553.74 = 153,223.04 : x
  2. Step 2: Convert to fraction form
    282,282/389,553.74 = 153,223.04/x
  3. Step 3: Cross multiply
    282,282x = 389,553.74 × 153,223.04
  4. Step 4: Simplify right side
    282,282x = 59,688,605,572.29
  5. Step 5: Solve for x
    x = 59,688,605,572.29/282,282
  6. Step 6: Final answer
    x = 211,450.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.