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Finding the Fourth Proportional to 214,482.76, 295,863.24 and 133,770.16

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Solution

The fourth proportional to 214,482.76, 295,863.24 and 133,770.16 is: 184,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,482.76 : 295,863.24 = 133,770.16 : x
  2. Step 2: Convert to fraction form
    214,482.76/295,863.24 = 133,770.16/x
  3. Step 3: Cross multiply
    214,482.76x = 295,863.24 × 133,770.16
  4. Step 4: Simplify right side
    214,482.76x = 39,577,672,952.92
  5. Step 5: Solve for x
    x = 39,577,672,952.92/214,482.76
  6. Step 6: Final answer
    x = 184,526.13

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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.