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Finding the Fourth Proportional to 260,724.75, 359,800.16 and 141,492.75

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Solution

The fourth proportional to 260,724.75, 359,800.16 and 141,492.75 is: 195,260.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,724.75 : 359,800.16 = 141,492.75 : x
  2. Step 2: Convert to fraction form
    260,724.75/359,800.16 = 141,492.75/x
  3. Step 3: Cross multiply
    260,724.75x = 359,800.16 × 141,492.75
  4. Step 4: Simplify right side
    260,724.75x = 50,909,113,381.38
  5. Step 5: Solve for x
    x = 50,909,113,381.38/260,724.75
  6. Step 6: Final answer
    x = 195,260.00

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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.