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Finding the Fourth Proportional to 259,301, 389,017.11 and 72,312.50

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Solution

The fourth proportional to 259,301, 389,017.11 and 72,312.50 is: 108,487.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,301 : 389,017.11 = 72,312.50 : x
  2. Step 2: Convert to fraction form
    259,301/389,017.11 = 72,312.50/x
  3. Step 3: Cross multiply
    259,301x = 389,017.11 × 72,312.50
  4. Step 4: Simplify right side
    259,301x = 28,130,799,766.88
  5. Step 5: Solve for x
    x = 28,130,799,766.88/259,301
  6. Step 6: Final answer
    x = 108,487.05

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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.