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Finding the Fourth Proportional to 197,294.16, 272,261.84 and 107,870.16

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Solution

The fourth proportional to 197,294.16, 272,261.84 and 107,870.16 is: 148,858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,294.16 : 272,261.84 = 107,870.16 : x
  2. Step 2: Convert to fraction form
    197,294.16/272,261.84 = 107,870.16/x
  3. Step 3: Cross multiply
    197,294.16x = 272,261.84 × 107,870.16
  4. Step 4: Simplify right side
    197,294.16x = 29,368,928,242.69
  5. Step 5: Solve for x
    x = 29,368,928,242.69/197,294.16
  6. Step 6: Final answer
    x = 148,858.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.