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Finding the Fourth Proportional to 346,149.84, 519,253.92 and 109,487.28

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Solution

The fourth proportional to 346,149.84, 519,253.92 and 109,487.28 is: 164,240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,149.84 : 519,253.92 = 109,487.28 : x
  2. Step 2: Convert to fraction form
    346,149.84/519,253.92 = 109,487.28/x
  3. Step 3: Cross multiply
    346,149.84x = 519,253.92 × 109,487.28
  4. Step 4: Simplify right side
    346,149.84x = 56,851,699,330.14
  5. Step 5: Solve for x
    x = 56,851,699,330.14/346,149.84
  6. Step 6: Final answer
    x = 164,240.14

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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.