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Finding the Fourth Proportional to 233,914.38, 322,801.60 and 126,484.15

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Solution

The fourth proportional to 233,914.38, 322,801.60 and 126,484.15 is: 174,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,914.38 : 322,801.60 = 126,484.15 : x
  2. Step 2: Convert to fraction form
    233,914.38/322,801.60 = 126,484.15/x
  3. Step 3: Cross multiply
    233,914.38x = 322,801.60 × 126,484.15
  4. Step 4: Simplify right side
    233,914.38x = 40,829,285,994.64
  5. Step 5: Solve for x
    x = 40,829,285,994.64/233,914.38
  6. Step 6: Final answer
    x = 174,547.99

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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.