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Finding the Fourth Proportional to 162,384.94, 224,082.16 and 89,783.63

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Solution

The fourth proportional to 162,384.94, 224,082.16 and 89,783.63 is: 123,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,384.94 : 224,082.16 = 89,783.63 : x
  2. Step 2: Convert to fraction form
    162,384.94/224,082.16 = 89,783.63/x
  3. Step 3: Cross multiply
    162,384.94x = 224,082.16 × 89,783.63
  4. Step 4: Simplify right side
    162,384.94x = 20,118,909,743.04
  5. Step 5: Solve for x
    x = 20,118,909,743.04/162,384.94
  6. Step 6: Final answer
    x = 123,896.40

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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.