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Finding the Fourth Proportional to 282,861.89, 390,356.10 and 155,537.38

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Solution

The fourth proportional to 282,861.89, 390,356.10 and 155,537.38 is: 214,645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,861.89 : 390,356.10 = 155,537.38 : x
  2. Step 2: Convert to fraction form
    282,861.89/390,356.10 = 155,537.38/x
  3. Step 3: Cross multiply
    282,861.89x = 390,356.10 × 155,537.38
  4. Step 4: Simplify right side
    282,861.89x = 60,714,964,085.13
  5. Step 5: Solve for x
    x = 60,714,964,085.13/282,861.89
  6. Step 6: Final answer
    x = 214,645.26

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Why These Related Problems?

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