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Finding the Fourth Proportional to 114,471.30, 157,938.18 and 90,196.98

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Solution

The fourth proportional to 114,471.30, 157,938.18 and 90,196.98 is: 124,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,471.30 : 157,938.18 = 90,196.98 : x
  2. Step 2: Convert to fraction form
    114,471.30/157,938.18 = 90,196.98/x
  3. Step 3: Cross multiply
    114,471.30x = 157,938.18 × 90,196.98
  4. Step 4: Simplify right side
    114,471.30x = 14,245,546,862.70
  5. Step 5: Solve for x
    x = 14,245,546,862.70/114,471.30
  6. Step 6: Final answer
    x = 124,446.45

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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.