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Finding the Fourth Proportional to 259,798, 358,521.24 and 140,566

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Solution

The fourth proportional to 259,798, 358,521.24 and 140,566 is: 193,981.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,798 : 358,521.24 = 140,566 : x
  2. Step 2: Convert to fraction form
    259,798/358,521.24 = 140,566/x
  3. Step 3: Cross multiply
    259,798x = 358,521.24 × 140,566
  4. Step 4: Simplify right side
    259,798x = 50,395,896,621.84
  5. Step 5: Solve for x
    x = 50,395,896,621.84/259,798
  6. Step 6: Final answer
    x = 193,981.08

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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.