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Finding the Fourth Proportional to 237,970.84, 328,410.12 and 142,459.12

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Solution

The fourth proportional to 237,970.84, 328,410.12 and 142,459.12 is: 196,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,970.84 : 328,410.12 = 142,459.12 : x
  2. Step 2: Convert to fraction form
    237,970.84/328,410.12 = 142,459.12/x
  3. Step 3: Cross multiply
    237,970.84x = 328,410.12 × 142,459.12
  4. Step 4: Simplify right side
    237,970.84x = 46,785,016,694.29
  5. Step 5: Solve for x
    x = 46,785,016,694.29/237,970.84
  6. Step 6: Final answer
    x = 196,599.79

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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.