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Finding the Fourth Proportional to 253,613.16, 349,985.61 and 146,182.46

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Solution

The fourth proportional to 253,613.16, 349,985.61 and 146,182.46 is: 201,731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,613.16 : 349,985.61 = 146,182.46 : x
  2. Step 2: Convert to fraction form
    253,613.16/349,985.61 = 146,182.46/x
  3. Step 3: Cross multiply
    253,613.16x = 349,985.61 × 146,182.46
  4. Step 4: Simplify right side
    253,613.16x = 51,161,755,684.47
  5. Step 5: Solve for x
    x = 51,161,755,684.47/253,613.16
  6. Step 6: Final answer
    x = 201,731.47

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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.