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Finding the Fourth Proportional to 110,102.60, 165,153.90 and 97,855.40

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Solution

The fourth proportional to 110,102.60, 165,153.90 and 97,855.40 is: 146,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,102.60 : 165,153.90 = 97,855.40 : x
  2. Step 2: Convert to fraction form
    110,102.60/165,153.90 = 97,855.40/x
  3. Step 3: Cross multiply
    110,102.60x = 165,153.90 × 97,855.40
  4. Step 4: Simplify right side
    110,102.60x = 16,161,200,946.06
  5. Step 5: Solve for x
    x = 16,161,200,946.06/110,102.60
  6. Step 6: Final answer
    x = 146,783.10

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1.5x scale

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.