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Finding the Fourth Proportional to 161,953.70, 242,833.35 and 83,221.70

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Solution

The fourth proportional to 161,953.70, 242,833.35 and 83,221.70 is: 124,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,953.70 : 242,833.35 = 83,221.70 : x
  2. Step 2: Convert to fraction form
    161,953.70/242,833.35 = 83,221.70/x
  3. Step 3: Cross multiply
    161,953.70x = 242,833.35 × 83,221.70
  4. Step 4: Simplify right side
    161,953.70x = 20,209,004,203.70
  5. Step 5: Solve for x
    x = 20,209,004,203.70/161,953.70
  6. Step 6: Final answer
    x = 124,782.60

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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.