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Finding the Fourth Proportional to 260,700.75, 359,683.38 and 145,962.50

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Solution

The fourth proportional to 260,700.75, 359,683.38 and 145,962.50 is: 201,381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,700.75 : 359,683.38 = 145,962.50 : x
  2. Step 2: Convert to fraction form
    260,700.75/359,683.38 = 145,962.50/x
  3. Step 3: Cross multiply
    260,700.75x = 359,683.38 × 145,962.50
  4. Step 4: Simplify right side
    260,700.75x = 52,500,283,554.83
  5. Step 5: Solve for x
    x = 52,500,283,554.83/260,700.75
  6. Step 6: Final answer
    x = 201,381.41

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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.