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Finding the Fourth Proportional to 205,703.67, 283,897.34 and 115,064.67

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Solution

The fourth proportional to 205,703.67, 283,897.34 and 115,064.67 is: 158,803.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,703.67 : 283,897.34 = 115,064.67 : x
  2. Step 2: Convert to fraction form
    205,703.67/283,897.34 = 115,064.67/x
  3. Step 3: Cross multiply
    205,703.67x = 283,897.34 × 115,064.67
  4. Step 4: Simplify right side
    205,703.67x = 32,666,553,740.98
  5. Step 5: Solve for x
    x = 32,666,553,740.98/205,703.67
  6. Step 6: Final answer
    x = 158,803.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.