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Finding the Fourth Proportional to 159,064.06, 238,421.10 and 65,518.78

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Solution

The fourth proportional to 159,064.06, 238,421.10 and 65,518.78 is: 98,206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,064.06 : 238,421.10 = 65,518.78 : x
  2. Step 2: Convert to fraction form
    159,064.06/238,421.10 = 65,518.78/x
  3. Step 3: Cross multiply
    159,064.06x = 238,421.10 × 65,518.78
  4. Step 4: Simplify right side
    159,064.06x = 15,621,059,598.26
  5. Step 5: Solve for x
    x = 15,621,059,598.26/159,064.06
  6. Step 6: Final answer
    x = 98,206.09

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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.