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Finding the Fourth Proportional to 186,539.52, 279,661.44 and 97,776

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Solution

The fourth proportional to 186,539.52, 279,661.44 and 97,776 is: 146,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,539.52 : 279,661.44 = 97,776 : x
  2. Step 2: Convert to fraction form
    186,539.52/279,661.44 = 97,776/x
  3. Step 3: Cross multiply
    186,539.52x = 279,661.44 × 97,776
  4. Step 4: Simplify right side
    186,539.52x = 27,344,176,957.44
  5. Step 5: Solve for x
    x = 27,344,176,957.44/186,539.52
  6. Step 6: Final answer
    x = 146,586.51

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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.