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Finding the Fourth Proportional to 295,700.07, 408,066.21 and 159,734.01

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Solution

The fourth proportional to 295,700.07, 408,066.21 and 159,734.01 is: 220,433.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,700.07 : 408,066.21 = 159,734.01 : x
  2. Step 2: Convert to fraction form
    295,700.07/408,066.21 = 159,734.01/x
  3. Step 3: Cross multiply
    295,700.07x = 408,066.21 × 159,734.01
  4. Step 4: Simplify right side
    295,700.07x = 65,182,052,068.80
  5. Step 5: Solve for x
    x = 65,182,052,068.80/295,700.07
  6. Step 6: Final answer
    x = 220,433.00

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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.