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Finding the Fourth Proportional to 260,174.84, 390,256.58 and 119,933.46

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Solution

The fourth proportional to 260,174.84, 390,256.58 and 119,933.46 is: 179,897.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,174.84 : 390,256.58 = 119,933.46 : x
  2. Step 2: Convert to fraction form
    260,174.84/390,256.58 = 119,933.46/x
  3. Step 3: Cross multiply
    260,174.84x = 390,256.58 × 119,933.46
  4. Step 4: Simplify right side
    260,174.84x = 46,804,822,227.00
  5. Step 5: Solve for x
    x = 46,804,822,227.00/260,174.84
  6. Step 6: Final answer
    x = 179,897.58

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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.