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Finding the Fourth Proportional to 162,907.94, 224,812.64 and 99,245.76

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Solution

The fourth proportional to 162,907.94, 224,812.64 and 99,245.76 is: 136,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,907.94 : 224,812.64 = 99,245.76 : x
  2. Step 2: Convert to fraction form
    162,907.94/224,812.64 = 99,245.76/x
  3. Step 3: Cross multiply
    162,907.94x = 224,812.64 × 99,245.76
  4. Step 4: Simplify right side
    162,907.94x = 22,311,701,314.41
  5. Step 5: Solve for x
    x = 22,311,701,314.41/162,907.94
  6. Step 6: Final answer
    x = 136,958.96

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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.