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Finding the Fourth Proportional to 189,354.51, 284,012.33 and 100,513.71

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Solution

The fourth proportional to 189,354.51, 284,012.33 and 100,513.71 is: 150,760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,354.51 : 284,012.33 = 100,513.71 : x
  2. Step 2: Convert to fraction form
    189,354.51/284,012.33 = 100,513.71/x
  3. Step 3: Cross multiply
    189,354.51x = 284,012.33 × 100,513.71
  4. Step 4: Simplify right side
    189,354.51x = 28,547,132,471.48
  5. Step 5: Solve for x
    x = 28,547,132,471.48/189,354.51
  6. Step 6: Final answer
    x = 150,760.25

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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.