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Finding the Fourth Proportional to 286,132.92, 429,208.40 and 136,389.48

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Solution

The fourth proportional to 286,132.92, 429,208.40 and 136,389.48 is: 204,588.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,132.92 : 429,208.40 = 136,389.48 : x
  2. Step 2: Convert to fraction form
    286,132.92/429,208.40 = 136,389.48/x
  3. Step 3: Cross multiply
    286,132.92x = 429,208.40 × 136,389.48
  4. Step 4: Simplify right side
    286,132.92x = 58,539,510,487.63
  5. Step 5: Solve for x
    x = 58,539,510,487.63/286,132.92
  6. Step 6: Final answer
    x = 204,588.52

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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.