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Finding the Fourth Proportional to 209,702.93, 289,393.34 and 114,209.55

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Solution

The fourth proportional to 209,702.93, 289,393.34 and 114,209.55 is: 157,610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,702.93 : 289,393.34 = 114,209.55 : x
  2. Step 2: Convert to fraction form
    209,702.93/289,393.34 = 114,209.55/x
  3. Step 3: Cross multiply
    209,702.93x = 289,393.34 × 114,209.55
  4. Step 4: Simplify right side
    209,702.93x = 33,051,482,563.35
  5. Step 5: Solve for x
    x = 33,051,482,563.35/209,702.93
  6. Step 6: Final answer
    x = 157,610.98

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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.