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Finding the Fourth Proportional to 162,473.96, 224,235.06 and 106,049.36

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Solution

The fourth proportional to 162,473.96, 224,235.06 and 106,049.36 is: 146,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,473.96 : 224,235.06 = 106,049.36 : x
  2. Step 2: Convert to fraction form
    162,473.96/224,235.06 = 106,049.36/x
  3. Step 3: Cross multiply
    162,473.96x = 224,235.06 × 106,049.36
  4. Step 4: Simplify right side
    162,473.96x = 23,779,984,602.56
  5. Step 5: Solve for x
    x = 23,779,984,602.56/162,473.96
  6. Step 6: Final answer
    x = 146,361.82

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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.