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Finding the Fourth Proportional to 346,066.98, 519,097.20 and 109,409.64

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Solution

The fourth proportional to 346,066.98, 519,097.20 and 109,409.64 is: 164,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,066.98 : 519,097.20 = 109,409.64 : x
  2. Step 2: Convert to fraction form
    346,066.98/519,097.20 = 109,409.64/x
  3. Step 3: Cross multiply
    346,066.98x = 519,097.20 × 109,409.64
  4. Step 4: Simplify right side
    346,066.98x = 56,794,237,777.01
  5. Step 5: Solve for x
    x = 56,794,237,777.01/346,066.98
  6. Step 6: Final answer
    x = 164,113.43

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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.