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Finding the Fourth Proportional to 189,482.68, 284,056.77 and 77,256.78

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Solution

The fourth proportional to 189,482.68, 284,056.77 and 77,256.78 is: 115,816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,482.68 : 284,056.77 = 77,256.78 : x
  2. Step 2: Convert to fraction form
    189,482.68/284,056.77 = 77,256.78/x
  3. Step 3: Cross multiply
    189,482.68x = 284,056.77 × 77,256.78
  4. Step 4: Simplify right side
    189,482.68x = 21,945,311,387.40
  5. Step 5: Solve for x
    x = 21,945,311,387.40/189,482.68
  6. Step 6: Final answer
    x = 115,816.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.