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Finding the Fourth Proportional to 159,274.06, 219,798.23 and 87,654.08

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Solution

The fourth proportional to 159,274.06, 219,798.23 and 87,654.08 is: 120,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,274.06 : 219,798.23 = 87,654.08 : x
  2. Step 2: Convert to fraction form
    159,274.06/219,798.23 = 87,654.08/x
  3. Step 3: Cross multiply
    159,274.06x = 219,798.23 × 87,654.08
  4. Step 4: Simplify right side
    159,274.06x = 19,266,210,099.02
  5. Step 5: Solve for x
    x = 19,266,210,099.02/159,274.06
  6. Step 6: Final answer
    x = 120,962.64

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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.