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Finding the Fourth Proportional to 186,122.80, 256,828.08 and 105,534.28

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Solution

The fourth proportional to 186,122.80, 256,828.08 and 105,534.28 is: 145,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,122.80 : 256,828.08 = 105,534.28 : x
  2. Step 2: Convert to fraction form
    186,122.80/256,828.08 = 105,534.28/x
  3. Step 3: Cross multiply
    186,122.80x = 256,828.08 × 105,534.28
  4. Step 4: Simplify right side
    186,122.80x = 27,104,166,506.58
  5. Step 5: Solve for x
    x = 27,104,166,506.58/186,122.80
  6. Step 6: Final answer
    x = 145,625.18

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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.