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Finding the Fourth Proportional to 160,574.70, 221,143.65 and 157,087.80

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Solution

The fourth proportional to 160,574.70, 221,143.65 and 157,087.80 is: 216,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,574.70 : 221,143.65 = 157,087.80 : x
  2. Step 2: Convert to fraction form
    160,574.70/221,143.65 = 157,087.80/x
  3. Step 3: Cross multiply
    160,574.70x = 221,143.65 × 157,087.80
  4. Step 4: Simplify right side
    160,574.70x = 34,738,969,462.47
  5. Step 5: Solve for x
    x = 34,738,969,462.47/160,574.70
  6. Step 6: Final answer
    x = 216,341.49

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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.