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Finding the Fourth Proportional to 108,701.20, 163,051.80 and 97,814.80

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Solution

The fourth proportional to 108,701.20, 163,051.80 and 97,814.80 is: 146,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,701.20 : 163,051.80 = 97,814.80 : x
  2. Step 2: Convert to fraction form
    108,701.20/163,051.80 = 97,814.80/x
  3. Step 3: Cross multiply
    108,701.20x = 163,051.80 × 97,814.80
  4. Step 4: Simplify right side
    108,701.20x = 15,948,879,206.64
  5. Step 5: Solve for x
    x = 15,948,879,206.64/108,701.20
  6. Step 6: Final answer
    x = 146,722.20

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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.