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Finding the Fourth Proportional to 162,509.40, 224,324.46 and 145,482.84

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Solution

The fourth proportional to 162,509.40, 224,324.46 and 145,482.84 is: 200,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,509.40 : 224,324.46 = 145,482.84 : x
  2. Step 2: Convert to fraction form
    162,509.40/224,324.46 = 145,482.84/x
  3. Step 3: Cross multiply
    162,509.40x = 224,324.46 × 145,482.84
  4. Step 4: Simplify right side
    162,509.40x = 32,635,359,522.27
  5. Step 5: Solve for x
    x = 32,635,359,522.27/162,509.40
  6. Step 6: Final answer
    x = 200,821.36

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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.