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Finding the Fourth Proportional to 257,649.95, 355,557.05 and 157,047.95

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Solution

The fourth proportional to 257,649.95, 355,557.05 and 157,047.95 is: 216,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,649.95 : 355,557.05 = 157,047.95 : x
  2. Step 2: Convert to fraction form
    257,649.95/355,557.05 = 157,047.95/x
  3. Step 3: Cross multiply
    257,649.95x = 355,557.05 × 157,047.95
  4. Step 4: Simplify right side
    257,649.95x = 55,839,503,247.52
  5. Step 5: Solve for x
    x = 55,839,503,247.52/257,649.95
  6. Step 6: Final answer
    x = 216,726.24

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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.