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Finding the Fourth Proportional to 97,829.40, 146,525.40 and 84,707.40

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Solution

The fourth proportional to 97,829.40, 146,525.40 and 84,707.40 is: 126,871.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,829.40 : 146,525.40 = 84,707.40 : x
  2. Step 2: Convert to fraction form
    97,829.40/146,525.40 = 84,707.40/x
  3. Step 3: Cross multiply
    97,829.40x = 146,525.40 × 84,707.40
  4. Step 4: Simplify right side
    97,829.40x = 12,411,785,667.96
  5. Step 5: Solve for x
    x = 12,411,785,667.96/97,829.40
  6. Step 6: Final answer
    x = 126,871.73

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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.