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Finding the Fourth Proportional to 208,221.40, 312,332.10 and 83,651.80

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Solution

The fourth proportional to 208,221.40, 312,332.10 and 83,651.80 is: 125,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,221.40 : 312,332.10 = 83,651.80 : x
  2. Step 2: Convert to fraction form
    208,221.40/312,332.10 = 83,651.80/x
  3. Step 3: Cross multiply
    208,221.40x = 312,332.10 × 83,651.80
  4. Step 4: Simplify right side
    208,221.40x = 26,127,142,362.78
  5. Step 5: Solve for x
    x = 26,127,142,362.78/208,221.40
  6. Step 6: Final answer
    x = 125,477.70

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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.