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Finding the Fourth Proportional to 151,813.58, 209,504.46 and 83,830.46

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Solution

The fourth proportional to 151,813.58, 209,504.46 and 83,830.46 is: 115,686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,813.58 : 209,504.46 = 83,830.46 : x
  2. Step 2: Convert to fraction form
    151,813.58/209,504.46 = 83,830.46/x
  3. Step 3: Cross multiply
    151,813.58x = 209,504.46 × 83,830.46
  4. Step 4: Simplify right side
    151,813.58x = 17,562,855,253.85
  5. Step 5: Solve for x
    x = 17,562,855,253.85/151,813.58
  6. Step 6: Final answer
    x = 115,686.98

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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.