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Finding the Fourth Proportional to 264,416.76, 364,903.85 and 149,693.06

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Solution

The fourth proportional to 264,416.76, 364,903.85 and 149,693.06 is: 206,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,416.76 : 364,903.85 = 149,693.06 : x
  2. Step 2: Convert to fraction form
    264,416.76/364,903.85 = 149,693.06/x
  3. Step 3: Cross multiply
    264,416.76x = 364,903.85 × 149,693.06
  4. Step 4: Simplify right side
    264,416.76x = 54,623,574,359.95
  5. Step 5: Solve for x
    x = 54,623,574,359.95/264,416.76
  6. Step 6: Final answer
    x = 206,581.36

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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.