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Finding the Fourth Proportional to 286,638.33, 430,130.30 and 99,781.05

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Solution

The fourth proportional to 286,638.33, 430,130.30 and 99,781.05 is: 149,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,638.33 : 430,130.30 = 99,781.05 : x
  2. Step 2: Convert to fraction form
    286,638.33/430,130.30 = 99,781.05/x
  3. Step 3: Cross multiply
    286,638.33x = 430,130.30 × 99,781.05
  4. Step 4: Simplify right side
    286,638.33x = 42,918,852,970.82
  5. Step 5: Solve for x
    x = 42,918,852,970.82/286,638.33
  6. Step 6: Final answer
    x = 149,731.73

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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.