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Finding the Fourth Proportional to 121,428.40, 182,142.60 and 105,876.40

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Solution

The fourth proportional to 121,428.40, 182,142.60 and 105,876.40 is: 158,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,428.40 : 182,142.60 = 105,876.40 : x
  2. Step 2: Convert to fraction form
    121,428.40/182,142.60 = 105,876.40/x
  3. Step 3: Cross multiply
    121,428.40x = 182,142.60 × 105,876.40
  4. Step 4: Simplify right side
    121,428.40x = 19,284,602,774.64
  5. Step 5: Solve for x
    x = 19,284,602,774.64/121,428.40
  6. Step 6: Final answer
    x = 158,814.60

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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.