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Finding the Fourth Proportional to 162,767.36, 243,954.20 and 83,838.53

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Solution

The fourth proportional to 162,767.36, 243,954.20 and 83,838.53 is: 125,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,767.36 : 243,954.20 = 83,838.53 : x
  2. Step 2: Convert to fraction form
    162,767.36/243,954.20 = 83,838.53/x
  3. Step 3: Cross multiply
    162,767.36x = 243,954.20 × 83,838.53
  4. Step 4: Simplify right side
    162,767.36x = 20,452,760,505.15
  5. Step 5: Solve for x
    x = 20,452,760,505.15/162,767.36
  6. Step 6: Final answer
    x = 125,656.40

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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.