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Finding the Fourth Proportional to 162,200.76, 243,353.27 and 77,967.03

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Solution

The fourth proportional to 162,200.76, 243,353.27 and 77,967.03 is: 116,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,200.76 : 243,353.27 = 77,967.03 : x
  2. Step 2: Convert to fraction form
    162,200.76/243,353.27 = 77,967.03/x
  3. Step 3: Cross multiply
    162,200.76x = 243,353.27 × 77,967.03
  4. Step 4: Simplify right side
    162,200.76x = 18,973,531,702.69
  5. Step 5: Solve for x
    x = 18,973,531,702.69/162,200.76
  6. Step 6: Final answer
    x = 116,975.60

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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.