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Finding the Fourth Proportional to 223,328.20, 334,877.10 and 83,014.60

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Solution

The fourth proportional to 223,328.20, 334,877.10 and 83,014.60 is: 124,479.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,328.20 : 334,877.10 = 83,014.60 : x
  2. Step 2: Convert to fraction form
    223,328.20/334,877.10 = 83,014.60/x
  3. Step 3: Cross multiply
    223,328.20x = 334,877.10 × 83,014.60
  4. Step 4: Simplify right side
    223,328.20x = 27,799,688,505.66
  5. Step 5: Solve for x
    x = 27,799,688,505.66/223,328.20
  6. Step 6: Final answer
    x = 124,479.08

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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.