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Finding the Fourth Proportional to 110,711.72, 165,210.62 and 98,897.96

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Solution

The fourth proportional to 110,711.72, 165,210.62 and 98,897.96 is: 147,581.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,711.72 : 165,210.62 = 98,897.96 : x
  2. Step 2: Convert to fraction form
    110,711.72/165,210.62 = 98,897.96/x
  3. Step 3: Cross multiply
    110,711.72x = 165,210.62 × 98,897.96
  4. Step 4: Simplify right side
    110,711.72x = 16,338,993,288.34
  5. Step 5: Solve for x
    x = 16,338,993,288.34/110,711.72
  6. Step 6: Final answer
    x = 147,581.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.