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Finding the Fourth Proportional to 257,124.88, 385,675.80 and 70,135.76

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Solution

The fourth proportional to 257,124.88, 385,675.80 and 70,135.76 is: 105,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,124.88 : 385,675.80 = 70,135.76 : x
  2. Step 2: Convert to fraction form
    257,124.88/385,675.80 = 70,135.76/x
  3. Step 3: Cross multiply
    257,124.88x = 385,675.80 × 70,135.76
  4. Step 4: Simplify right side
    257,124.88x = 27,049,665,346.61
  5. Step 5: Solve for x
    x = 27,049,665,346.61/257,124.88
  6. Step 6: Final answer
    x = 105,200.50

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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.