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Finding the Fourth Proportional to 186,193.51, 256,965.95 and 109,737.23

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Solution

The fourth proportional to 186,193.51, 256,965.95 and 109,737.23 is: 151,448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,193.51 : 256,965.95 = 109,737.23 : x
  2. Step 2: Convert to fraction form
    186,193.51/256,965.95 = 109,737.23/x
  3. Step 3: Cross multiply
    186,193.51x = 256,965.95 × 109,737.23
  4. Step 4: Simplify right side
    186,193.51x = 28,198,730,546.83
  5. Step 5: Solve for x
    x = 28,198,730,546.83/186,193.51
  6. Step 6: Final answer
    x = 151,448.52

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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.