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Finding the Fourth Proportional to 129,214.80, 193,384.80 and 113,468.40

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Solution

The fourth proportional to 129,214.80, 193,384.80 and 113,468.40 is: 169,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,214.80 : 193,384.80 = 113,468.40 : x
  2. Step 2: Convert to fraction form
    129,214.80/193,384.80 = 113,468.40/x
  3. Step 3: Cross multiply
    129,214.80x = 193,384.80 × 113,468.40
  4. Step 4: Simplify right side
    129,214.80x = 21,943,063,840.32
  5. Step 5: Solve for x
    x = 21,943,063,840.32/129,214.80
  6. Step 6: Final answer
    x = 169,818.50

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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.