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Finding the Fourth Proportional to 194,814.40, 292,210.66 and 52,657.58

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Solution

The fourth proportional to 194,814.40, 292,210.66 and 52,657.58 is: 78,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,814.40 : 292,210.66 = 52,657.58 : x
  2. Step 2: Convert to fraction form
    194,814.40/292,210.66 = 52,657.58/x
  3. Step 3: Cross multiply
    194,814.40x = 292,210.66 × 52,657.58
  4. Step 4: Simplify right side
    194,814.40x = 15,387,106,205.80
  5. Step 5: Solve for x
    x = 15,387,106,205.80/194,814.40
  6. Step 6: Final answer
    x = 78,983.41

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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.