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Finding the Fourth Proportional to 186,726.30, 280,089.45 and 153,921.30

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Solution

The fourth proportional to 186,726.30, 280,089.45 and 153,921.30 is: 230,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,726.30 : 280,089.45 = 153,921.30 : x
  2. Step 2: Convert to fraction form
    186,726.30/280,089.45 = 153,921.30/x
  3. Step 3: Cross multiply
    186,726.30x = 280,089.45 × 153,921.30
  4. Step 4: Simplify right side
    186,726.30x = 43,111,732,260.29
  5. Step 5: Solve for x
    x = 43,111,732,260.29/186,726.30
  6. Step 6: Final answer
    x = 230,881.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.