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Finding the Fourth Proportional to 286,598.54, 429,242.16 and 136,944.02

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Solution

The fourth proportional to 286,598.54, 429,242.16 and 136,944.02 is: 205,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,598.54 : 429,242.16 = 136,944.02 : x
  2. Step 2: Convert to fraction form
    286,598.54/429,242.16 = 136,944.02/x
  3. Step 3: Cross multiply
    286,598.54x = 429,242.16 × 136,944.02
  4. Step 4: Simplify right side
    286,598.54x = 58,782,146,943.88
  5. Step 5: Solve for x
    x = 58,782,146,943.88/286,598.54
  6. Step 6: Final answer
    x = 205,102.74

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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.