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Finding the Fourth Proportional to 189,853.60, 284,434.80 and 154,602.40

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Solution

The fourth proportional to 189,853.60, 284,434.80 and 154,602.40 is: 231,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,853.60 : 284,434.80 = 154,602.40 : x
  2. Step 2: Convert to fraction form
    189,853.60/284,434.80 = 154,602.40/x
  3. Step 3: Cross multiply
    189,853.60x = 284,434.80 × 154,602.40
  4. Step 4: Simplify right side
    189,853.60x = 43,974,302,723.52
  5. Step 5: Solve for x
    x = 43,974,302,723.52/189,853.60
  6. Step 6: Final answer
    x = 231,622.17

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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.