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Finding the Fourth Proportional to 338,162.06, 507,320.82 and 101,509.22

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Solution

The fourth proportional to 338,162.06, 507,320.82 and 101,509.22 is: 152,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,162.06 : 507,320.82 = 101,509.22 : x
  2. Step 2: Convert to fraction form
    338,162.06/507,320.82 = 101,509.22/x
  3. Step 3: Cross multiply
    338,162.06x = 507,320.82 × 101,509.22
  4. Step 4: Simplify right side
    338,162.06x = 51,497,740,727.96
  5. Step 5: Solve for x
    x = 51,497,740,727.96/338,162.06
  6. Step 6: Final answer
    x = 152,287.16

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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.