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Finding the Fourth Proportional to 257,734.64, 355,675.70 and 143,013.74

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Solution

The fourth proportional to 257,734.64, 355,675.70 and 143,013.74 is: 197,360.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,734.64 : 355,675.70 = 143,013.74 : x
  2. Step 2: Convert to fraction form
    257,734.64/355,675.70 = 143,013.74/x
  3. Step 3: Cross multiply
    257,734.64x = 355,675.70 × 143,013.74
  4. Step 4: Simplify right side
    257,734.64x = 50,866,510,663.27
  5. Step 5: Solve for x
    x = 50,866,510,663.27/257,734.64
  6. Step 6: Final answer
    x = 197,360.01

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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.