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Finding the Fourth Proportional to 230,345.76, 344,738.40 and 141,655.52

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Solution

The fourth proportional to 230,345.76, 344,738.40 and 141,655.52 is: 212,003.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,345.76 : 344,738.40 = 141,655.52 : x
  2. Step 2: Convert to fraction form
    230,345.76/344,738.40 = 141,655.52/x
  3. Step 3: Cross multiply
    230,345.76x = 344,738.40 × 141,655.52
  4. Step 4: Simplify right side
    230,345.76x = 48,834,097,315.97
  5. Step 5: Solve for x
    x = 48,834,097,315.97/230,345.76
  6. Step 6: Final answer
    x = 212,003.46

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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.