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Finding the Fourth Proportional to 254,346, 381,426.84 and 114,032.40

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Solution

The fourth proportional to 254,346, 381,426.84 and 114,032.40 is: 171,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,346 : 381,426.84 = 114,032.40 : x
  2. Step 2: Convert to fraction form
    254,346/381,426.84 = 114,032.40/x
  3. Step 3: Cross multiply
    254,346x = 381,426.84 × 114,032.40
  4. Step 4: Simplify right side
    254,346x = 43,495,017,989.62
  5. Step 5: Solve for x
    x = 43,495,017,989.62/254,346
  6. Step 6: Final answer
    x = 171,007.28

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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.