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Finding the Fourth Proportional to 257,989.51, 387,008.70 and 100,230.13

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Solution

The fourth proportional to 257,989.51, 387,008.70 and 100,230.13 is: 150,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,989.51 : 387,008.70 = 100,230.13 : x
  2. Step 2: Convert to fraction form
    257,989.51/387,008.70 = 100,230.13/x
  3. Step 3: Cross multiply
    257,989.51x = 387,008.70 × 100,230.13
  4. Step 4: Simplify right side
    257,989.51x = 38,789,932,312.13
  5. Step 5: Solve for x
    x = 38,789,932,312.13/257,989.51
  6. Step 6: Final answer
    x = 150,354.69

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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.