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Finding the Fourth Proportional to 253,070.69, 349,220.91 and 145,623.38

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Solution

The fourth proportional to 253,070.69, 349,220.91 and 145,623.38 is: 200,950.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,070.69 : 349,220.91 = 145,623.38 : x
  2. Step 2: Convert to fraction form
    253,070.69/349,220.91 = 145,623.38/x
  3. Step 3: Cross multiply
    253,070.69x = 349,220.91 × 145,623.38
  4. Step 4: Simplify right side
    253,070.69x = 50,854,727,534.77
  5. Step 5: Solve for x
    x = 50,854,727,534.77/253,070.69
  6. Step 6: Final answer
    x = 200,950.69

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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.