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Finding the Fourth Proportional to 223,384.40, 335,038.20 and 83,070.80

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Solution

The fourth proportional to 223,384.40, 335,038.20 and 83,070.80 is: 124,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,384.40 : 335,038.20 = 83,070.80 : x
  2. Step 2: Convert to fraction form
    223,384.40/335,038.20 = 83,070.80/x
  3. Step 3: Cross multiply
    223,384.40x = 335,038.20 × 83,070.80
  4. Step 4: Simplify right side
    223,384.40x = 27,831,891,304.56
  5. Step 5: Solve for x
    x = 27,831,891,304.56/223,384.40
  6. Step 6: Final answer
    x = 124,591.92

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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.