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Finding the Fourth Proportional to 224,889.67, 310,317.69 and 144,426.16

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Solution

The fourth proportional to 224,889.67, 310,317.69 and 144,426.16 is: 199,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,889.67 : 310,317.69 = 144,426.16 : x
  2. Step 2: Convert to fraction form
    224,889.67/310,317.69 = 144,426.16/x
  3. Step 3: Cross multiply
    224,889.67x = 310,317.69 × 144,426.16
  4. Step 4: Simplify right side
    224,889.67x = 44,817,992,346.77
  5. Step 5: Solve for x
    x = 44,817,992,346.77/224,889.67
  6. Step 6: Final answer
    x = 199,288.80

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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.