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Finding the Fourth Proportional to 108,971.19, 163,403.46 and 64,586.01

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Solution

The fourth proportional to 108,971.19, 163,403.46 and 64,586.01 is: 96,847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,971.19 : 163,403.46 = 64,586.01 : x
  2. Step 2: Convert to fraction form
    108,971.19/163,403.46 = 64,586.01/x
  3. Step 3: Cross multiply
    108,971.19x = 163,403.46 × 64,586.01
  4. Step 4: Simplify right side
    108,971.19x = 10,553,577,501.59
  5. Step 5: Solve for x
    x = 10,553,577,501.59/108,971.19
  6. Step 6: Final answer
    x = 96,847.41

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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.