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Finding the Fourth Proportional to 203,097.80, 304,646.70 and 144,000.20

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Solution

The fourth proportional to 203,097.80, 304,646.70 and 144,000.20 is: 216,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,097.80 : 304,646.70 = 144,000.20 : x
  2. Step 2: Convert to fraction form
    203,097.80/304,646.70 = 144,000.20/x
  3. Step 3: Cross multiply
    203,097.80x = 304,646.70 × 144,000.20
  4. Step 4: Simplify right side
    203,097.80x = 43,869,185,729.34
  5. Step 5: Solve for x
    x = 43,869,185,729.34/203,097.80
  6. Step 6: Final answer
    x = 216,000.30

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1.5x scale

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.