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Finding the Fourth Proportional to 338,199.48, 507,308.54 and 101,542.19

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Solution

The fourth proportional to 338,199.48, 507,308.54 and 101,542.19 is: 152,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,199.48 : 507,308.54 = 101,542.19 : x
  2. Step 2: Convert to fraction form
    338,199.48/507,308.54 = 101,542.19/x
  3. Step 3: Cross multiply
    338,199.48x = 507,308.54 × 101,542.19
  4. Step 4: Simplify right side
    338,199.48x = 51,513,217,113.05
  5. Step 5: Solve for x
    x = 51,513,217,113.05/338,199.48
  6. Step 6: Final answer
    x = 152,316.07

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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.