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Finding the Fourth Proportional to 268,309.60, 402,003.60 and 141,762.40

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Solution

The fourth proportional to 268,309.60, 402,003.60 and 141,762.40 is: 212,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,309.60 : 402,003.60 = 141,762.40 : x
  2. Step 2: Convert to fraction form
    268,309.60/402,003.60 = 141,762.40/x
  3. Step 3: Cross multiply
    268,309.60x = 402,003.60 × 141,762.40
  4. Step 4: Simplify right side
    268,309.60x = 56,988,995,144.64
  5. Step 5: Solve for x
    x = 56,988,995,144.64/268,309.60
  6. Step 6: Final answer
    x = 212,400.13

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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.