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Finding the Fourth Proportional to 110,053.30, 165,079.95 and 97,368.70

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Solution

The fourth proportional to 110,053.30, 165,079.95 and 97,368.70 is: 146,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,053.30 : 165,079.95 = 97,368.70 : x
  2. Step 2: Convert to fraction form
    110,053.30/165,079.95 = 97,368.70/x
  3. Step 3: Cross multiply
    110,053.30x = 165,079.95 × 97,368.70
  4. Step 4: Simplify right side
    110,053.30x = 16,073,620,127.57
  5. Step 5: Solve for x
    x = 16,073,620,127.57/110,053.30
  6. Step 6: Final answer
    x = 146,053.05

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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.