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Finding the Fourth Proportional to 273,756.16, 410,648.96 and 86,782.24

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Solution

The fourth proportional to 273,756.16, 410,648.96 and 86,782.24 is: 130,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,756.16 : 410,648.96 = 86,782.24 : x
  2. Step 2: Convert to fraction form
    273,756.16/410,648.96 = 86,782.24/x
  3. Step 3: Cross multiply
    273,756.16x = 410,648.96 × 86,782.24
  4. Step 4: Simplify right side
    273,756.16x = 35,637,036,602.47
  5. Step 5: Solve for x
    x = 35,637,036,602.47/273,756.16
  6. Step 6: Final answer
    x = 130,178.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.