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Finding the Fourth Proportional to 210,154.77, 315,446.60 and 153,827.57

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Solution

The fourth proportional to 210,154.77, 315,446.60 and 153,827.57 is: 230,898.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,154.77 : 315,446.60 = 153,827.57 : x
  2. Step 2: Convert to fraction form
    210,154.77/315,446.60 = 153,827.57/x
  3. Step 3: Cross multiply
    210,154.77x = 315,446.60 × 153,827.57
  4. Step 4: Simplify right side
    210,154.77x = 48,524,381,596.39
  5. Step 5: Solve for x
    x = 48,524,381,596.39/210,154.77
  6. Step 6: Final answer
    x = 230,898.31

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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.