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Finding the Fourth Proportional to 165,703.59, 228,598.20 and 111,969

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Solution

The fourth proportional to 165,703.59, 228,598.20 and 111,969 is: 154,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,703.59 : 228,598.20 = 111,969 : x
  2. Step 2: Convert to fraction form
    165,703.59/228,598.20 = 111,969/x
  3. Step 3: Cross multiply
    165,703.59x = 228,598.20 × 111,969
  4. Step 4: Simplify right side
    165,703.59x = 25,595,911,855.80
  5. Step 5: Solve for x
    x = 25,595,911,855.80/165,703.59
  6. Step 6: Final answer
    x = 154,468.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.