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Finding the Fourth Proportional to 165,416.50, 228,274.76 and 93,796.50

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Solution

The fourth proportional to 165,416.50, 228,274.76 and 93,796.50 is: 129,439.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,416.50 : 228,274.76 = 93,796.50 : x
  2. Step 2: Convert to fraction form
    165,416.50/228,274.76 = 93,796.50/x
  3. Step 3: Cross multiply
    165,416.50x = 228,274.76 × 93,796.50
  4. Step 4: Simplify right side
    165,416.50x = 21,411,373,526.34
  5. Step 5: Solve for x
    x = 21,411,373,526.34/165,416.50
  6. Step 6: Final answer
    x = 129,439.16

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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.