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Finding the Fourth Proportional to 253,184.16, 349,393.59 and 145,714.98

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Solution

The fourth proportional to 253,184.16, 349,393.59 and 145,714.98 is: 201,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,184.16 : 349,393.59 = 145,714.98 : x
  2. Step 2: Convert to fraction form
    253,184.16/349,393.59 = 145,714.98/x
  3. Step 3: Cross multiply
    253,184.16x = 349,393.59 × 145,714.98
  4. Step 4: Simplify right side
    253,184.16x = 50,911,879,978.98
  5. Step 5: Solve for x
    x = 50,911,879,978.98/253,184.16
  6. Step 6: Final answer
    x = 201,086.36

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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.