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Finding the Fourth Proportional to 114,000.10, 171,000.15 and 30,894.10

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Solution

The fourth proportional to 114,000.10, 171,000.15 and 30,894.10 is: 46,341.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,000.10 : 171,000.15 = 30,894.10 : x
  2. Step 2: Convert to fraction form
    114,000.10/171,000.15 = 30,894.10/x
  3. Step 3: Cross multiply
    114,000.10x = 171,000.15 × 30,894.10
  4. Step 4: Simplify right side
    114,000.10x = 5,282,895,734.12
  5. Step 5: Solve for x
    x = 5,282,895,734.12/114,000.10
  6. Step 6: Final answer
    x = 46,341.15

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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.