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Finding the Fourth Proportional to 232,263.80, 348,312.02 and 80,419.64

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Solution

The fourth proportional to 232,263.80, 348,312.02 and 80,419.64 is: 120,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,263.80 : 348,312.02 = 80,419.64 : x
  2. Step 2: Convert to fraction form
    232,263.80/348,312.02 = 80,419.64/x
  3. Step 3: Cross multiply
    232,263.80x = 348,312.02 × 80,419.64
  4. Step 4: Simplify right side
    232,263.80x = 28,011,127,256.07
  5. Step 5: Solve for x
    x = 28,011,127,256.07/232,263.80
  6. Step 6: Final answer
    x = 120,600.49

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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.