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Finding the Fourth Proportional to 105,114.90, 157,672.35 and 96,513.30

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Solution

The fourth proportional to 105,114.90, 157,672.35 and 96,513.30 is: 144,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,114.90 : 157,672.35 = 96,513.30 : x
  2. Step 2: Convert to fraction form
    105,114.90/157,672.35 = 96,513.30/x
  3. Step 3: Cross multiply
    105,114.90x = 157,672.35 × 96,513.30
  4. Step 4: Simplify right side
    105,114.90x = 15,217,478,817.26
  5. Step 5: Solve for x
    x = 15,217,478,817.26/105,114.90
  6. Step 6: Final answer
    x = 144,769.95

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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.