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Finding the Fourth Proportional to 197,133.40, 295,700.10 and 144,645.40

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Solution

The fourth proportional to 197,133.40, 295,700.10 and 144,645.40 is: 216,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,133.40 : 295,700.10 = 144,645.40 : x
  2. Step 2: Convert to fraction form
    197,133.40/295,700.10 = 144,645.40/x
  3. Step 3: Cross multiply
    197,133.40x = 295,700.10 × 144,645.40
  4. Step 4: Simplify right side
    197,133.40x = 42,771,659,244.54
  5. Step 5: Solve for x
    x = 42,771,659,244.54/197,133.40
  6. Step 6: Final answer
    x = 216,968.10

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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.