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Finding the Fourth Proportional to 213,338.88, 294,407.82 and 116,544.06

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Solution

The fourth proportional to 213,338.88, 294,407.82 and 116,544.06 is: 160,830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,338.88 : 294,407.82 = 116,544.06 : x
  2. Step 2: Convert to fraction form
    213,338.88/294,407.82 = 116,544.06/x
  3. Step 3: Cross multiply
    213,338.88x = 294,407.82 × 116,544.06
  4. Step 4: Simplify right side
    213,338.88x = 34,311,482,638.55
  5. Step 5: Solve for x
    x = 34,311,482,638.55/213,338.88
  6. Step 6: Final answer
    x = 160,830.89

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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.