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Finding the Fourth Proportional to 146,020.64, 219,031.14 and 35,212.64

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Solution

The fourth proportional to 146,020.64, 219,031.14 and 35,212.64 is: 52,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,020.64 : 219,031.14 = 35,212.64 : x
  2. Step 2: Convert to fraction form
    146,020.64/219,031.14 = 35,212.64/x
  3. Step 3: Cross multiply
    146,020.64x = 219,031.14 × 35,212.64
  4. Step 4: Simplify right side
    146,020.64x = 7,712,664,681.61
  5. Step 5: Solve for x
    x = 7,712,664,681.61/146,020.64
  6. Step 6: Final answer
    x = 52,819.00

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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.