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Finding the Fourth Proportional to 197,290.56, 295,751.10 and 96,066.48

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Solution

The fourth proportional to 197,290.56, 295,751.10 and 96,066.48 is: 144,009.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,290.56 : 295,751.10 = 96,066.48 : x
  2. Step 2: Convert to fraction form
    197,290.56/295,751.10 = 96,066.48/x
  3. Step 3: Cross multiply
    197,290.56x = 295,751.10 × 96,066.48
  4. Step 4: Simplify right side
    197,290.56x = 28,411,767,133.13
  5. Step 5: Solve for x
    x = 28,411,767,133.13/197,290.56
  6. Step 6: Final answer
    x = 144,009.76

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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.