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Finding the Fourth Proportional to 260,077.16, 390,109.98 and 119,835.74

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Solution

The fourth proportional to 260,077.16, 390,109.98 and 119,835.74 is: 179,750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,077.16 : 390,109.98 = 119,835.74 : x
  2. Step 2: Convert to fraction form
    260,077.16/390,109.98 = 119,835.74/x
  3. Step 3: Cross multiply
    260,077.16x = 390,109.98 × 119,835.74
  4. Step 4: Simplify right side
    260,077.16x = 46,749,118,134.69
  5. Step 5: Solve for x
    x = 46,749,118,134.69/260,077.16
  6. Step 6: Final answer
    x = 179,750.96

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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.