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Finding the Fourth Proportional to 165,955.68, 229,048.69 and 97,968.67

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Solution

The fourth proportional to 165,955.68, 229,048.69 and 97,968.67 is: 135,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,955.68 : 229,048.69 = 97,968.67 : x
  2. Step 2: Convert to fraction form
    165,955.68/229,048.69 = 97,968.67/x
  3. Step 3: Cross multiply
    165,955.68x = 229,048.69 × 97,968.67
  4. Step 4: Simplify right side
    165,955.68x = 22,439,594,707.00
  5. Step 5: Solve for x
    x = 22,439,594,707.00/165,955.68
  6. Step 6: Final answer
    x = 135,214.38

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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.