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Finding the Fourth Proportional to 213,657.59, 294,835.55 and 116,842.34

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Solution

The fourth proportional to 213,657.59, 294,835.55 and 116,842.34 is: 161,235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,657.59 : 294,835.55 = 116,842.34 : x
  2. Step 2: Convert to fraction form
    213,657.59/294,835.55 = 116,842.34/x
  3. Step 3: Cross multiply
    213,657.59x = 294,835.55 × 116,842.34
  4. Step 4: Simplify right side
    213,657.59x = 34,449,273,518.80
  5. Step 5: Solve for x
    x = 34,449,273,518.80/213,657.59
  6. Step 6: Final answer
    x = 161,235.90

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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.