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Finding the Fourth Proportional to 257,411.79, 355,213.76 and 149,999.31

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Solution

The fourth proportional to 257,411.79, 355,213.76 and 149,999.31 is: 206,990.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,411.79 : 355,213.76 = 149,999.31 : x
  2. Step 2: Convert to fraction form
    257,411.79/355,213.76 = 149,999.31/x
  3. Step 3: Cross multiply
    257,411.79x = 355,213.76 × 149,999.31
  4. Step 4: Simplify right side
    257,411.79x = 53,281,818,152.51
  5. Step 5: Solve for x
    x = 53,281,818,152.51/257,411.79
  6. Step 6: Final answer
    x = 206,990.59

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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.