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Finding the Fourth Proportional to 225,655.47, 338,539.50 and 159,225.48

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Solution

The fourth proportional to 225,655.47, 338,539.50 and 159,225.48 is: 238,877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,655.47 : 338,539.50 = 159,225.48 : x
  2. Step 2: Convert to fraction form
    225,655.47/338,539.50 = 159,225.48/x
  3. Step 3: Cross multiply
    225,655.47x = 338,539.50 × 159,225.48
  4. Step 4: Simplify right side
    225,655.47x = 53,904,114,386.46
  5. Step 5: Solve for x
    x = 53,904,114,386.46/225,655.47
  6. Step 6: Final answer
    x = 238,877.94

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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.