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Finding the Fourth Proportional to 186,598.54, 257,496.25 and 106,014.88

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Solution

The fourth proportional to 186,598.54, 257,496.25 and 106,014.88 is: 146,295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,598.54 : 257,496.25 = 106,014.88 : x
  2. Step 2: Convert to fraction form
    186,598.54/257,496.25 = 106,014.88/x
  3. Step 3: Cross multiply
    186,598.54x = 257,496.25 × 106,014.88
  4. Step 4: Simplify right side
    186,598.54x = 27,298,434,044.20
  5. Step 5: Solve for x
    x = 27,298,434,044.20/186,598.54
  6. Step 6: Final answer
    x = 146,295.00

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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.