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Finding the Fourth Proportional to 152,234.84, 210,284.88 and 116,861.96

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Solution

The fourth proportional to 152,234.84, 210,284.88 and 116,861.96 is: 161,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,234.84 : 210,284.88 = 116,861.96 : x
  2. Step 2: Convert to fraction form
    152,234.84/210,284.88 = 116,861.96/x
  3. Step 3: Cross multiply
    152,234.84x = 210,284.88 × 116,861.96
  4. Step 4: Simplify right side
    152,234.84x = 24,574,303,235.16
  5. Step 5: Solve for x
    x = 24,574,303,235.16/152,234.84
  6. Step 6: Final answer
    x = 161,423.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.