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Finding the Fourth Proportional to 165,805.31, 228,848.25 and 105,364.16

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Solution

The fourth proportional to 165,805.31, 228,848.25 and 105,364.16 is: 145,426.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,805.31 : 228,848.25 = 105,364.16 : x
  2. Step 2: Convert to fraction form
    165,805.31/228,848.25 = 105,364.16/x
  3. Step 3: Cross multiply
    165,805.31x = 228,848.25 × 105,364.16
  4. Step 4: Simplify right side
    165,805.31x = 24,112,403,737.78
  5. Step 5: Solve for x
    x = 24,112,403,737.78/165,805.31
  6. Step 6: Final answer
    x = 145,426.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.