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Finding the Fourth Proportional to 189,666.40, 284,540.70 and 100,907.08

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Solution

The fourth proportional to 189,666.40, 284,540.70 and 100,907.08 is: 151,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,666.40 : 284,540.70 = 100,907.08 : x
  2. Step 2: Convert to fraction form
    189,666.40/284,540.70 = 100,907.08/x
  3. Step 3: Cross multiply
    189,666.40x = 284,540.70 × 100,907.08
  4. Step 4: Simplify right side
    189,666.40x = 28,712,171,178.16
  5. Step 5: Solve for x
    x = 28,712,171,178.16/189,666.40
  6. Step 6: Final answer
    x = 151,382.49

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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.