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Finding the Fourth Proportional to 195,980.56, 294,036.44 and 77,685.72

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Solution

The fourth proportional to 195,980.56, 294,036.44 and 77,685.72 is: 116,554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,980.56 : 294,036.44 = 77,685.72 : x
  2. Step 2: Convert to fraction form
    195,980.56/294,036.44 = 77,685.72/x
  3. Step 3: Cross multiply
    195,980.56x = 294,036.44 × 77,685.72
  4. Step 4: Simplify right side
    195,980.56x = 22,842,432,547.64
  5. Step 5: Solve for x
    x = 22,842,432,547.64/195,980.56
  6. Step 6: Final answer
    x = 116,554.58

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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.