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Finding the Fourth Proportional to 284,969.02, 427,335.33 and 105,064.68

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Solution

The fourth proportional to 284,969.02, 427,335.33 and 105,064.68 is: 157,553.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,969.02 : 427,335.33 = 105,064.68 : x
  2. Step 2: Convert to fraction form
    284,969.02/427,335.33 = 105,064.68/x
  3. Step 3: Cross multiply
    284,969.02x = 427,335.33 × 105,064.68
  4. Step 4: Simplify right side
    284,969.02x = 44,897,849,699.14
  5. Step 5: Solve for x
    x = 44,897,849,699.14/284,969.02
  6. Step 6: Final answer
    x = 157,553.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.