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Finding the Fourth Proportional to 145,822, 201,321.84 and 95,608.48

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Solution

The fourth proportional to 145,822, 201,321.84 and 95,608.48 is: 131,997.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,822 : 201,321.84 = 95,608.48 : x
  2. Step 2: Convert to fraction form
    145,822/201,321.84 = 95,608.48/x
  3. Step 3: Cross multiply
    145,822x = 201,321.84 × 95,608.48
  4. Step 4: Simplify right side
    145,822x = 19,248,075,113.20
  5. Step 5: Solve for x
    x = 19,248,075,113.20/145,822
  6. Step 6: Final answer
    x = 131,997.06

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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.