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Finding the Fourth Proportional to 300,023.76, 414,038.76 and 164,066.16

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Solution

The fourth proportional to 300,023.76, 414,038.76 and 164,066.16 is: 226,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,023.76 : 414,038.76 = 164,066.16 : x
  2. Step 2: Convert to fraction form
    300,023.76/414,038.76 = 164,066.16/x
  3. Step 3: Cross multiply
    300,023.76x = 414,038.76 × 164,066.16
  4. Step 4: Simplify right side
    300,023.76x = 67,929,749,444.36
  5. Step 5: Solve for x
    x = 67,929,749,444.36/300,023.76
  6. Step 6: Final answer
    x = 226,414.57

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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.