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Finding the Fourth Proportional to 257,286.19, 355,054.94 and 156,684.19

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Solution

The fourth proportional to 257,286.19, 355,054.94 and 156,684.19 is: 216,224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,286.19 : 355,054.94 = 156,684.19 : x
  2. Step 2: Convert to fraction form
    257,286.19/355,054.94 = 156,684.19/x
  3. Step 3: Cross multiply
    257,286.19x = 355,054.94 × 156,684.19
  4. Step 4: Simplify right side
    257,286.19x = 55,631,495,679.40
  5. Step 5: Solve for x
    x = 55,631,495,679.40/257,286.19
  6. Step 6: Final answer
    x = 216,224.18

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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.