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Finding the Fourth Proportional to 253,205.48, 349,409.42 and 138,461.38

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Solution

The fourth proportional to 253,205.48, 349,409.42 and 138,461.38 is: 191,068.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,205.48 : 349,409.42 = 138,461.38 : x
  2. Step 2: Convert to fraction form
    253,205.48/349,409.42 = 138,461.38/x
  3. Step 3: Cross multiply
    253,205.48x = 349,409.42 × 138,461.38
  4. Step 4: Simplify right side
    253,205.48x = 48,379,710,478.20
  5. Step 5: Solve for x
    x = 48,379,710,478.20/253,205.48
  6. Step 6: Final answer
    x = 191,068.97

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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.