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Finding the Fourth Proportional to 186,503.92, 257,368.46 and 114,028.22

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Solution

The fourth proportional to 186,503.92, 257,368.46 and 114,028.22 is: 157,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,503.92 : 257,368.46 = 114,028.22 : x
  2. Step 2: Convert to fraction form
    186,503.92/257,368.46 = 114,028.22/x
  3. Step 3: Cross multiply
    186,503.92x = 257,368.46 × 114,028.22
  4. Step 4: Simplify right side
    186,503.92x = 29,347,267,451.22
  5. Step 5: Solve for x
    x = 29,347,267,451.22/186,503.92
  6. Step 6: Final answer
    x = 157,354.70

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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.