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Finding the Fourth Proportional to 189,505.34, 284,254.11 and 63,154.76

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Solution

The fourth proportional to 189,505.34, 284,254.11 and 63,154.76 is: 94,730.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,505.34 : 284,254.11 = 63,154.76 : x
  2. Step 2: Convert to fraction form
    189,505.34/284,254.11 = 63,154.76/x
  3. Step 3: Cross multiply
    189,505.34x = 284,254.11 × 63,154.76
  4. Step 4: Simplify right side
    189,505.34x = 17,952,000,096.06
  5. Step 5: Solve for x
    x = 17,952,000,096.06/189,505.34
  6. Step 6: Final answer
    x = 94,730.84

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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.