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Finding the Fourth Proportional to 338,176.42, 507,338.34 and 101,537.55

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Solution

The fourth proportional to 338,176.42, 507,338.34 and 101,537.55 is: 152,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,176.42 : 507,338.34 = 101,537.55 : x
  2. Step 2: Convert to fraction form
    338,176.42/507,338.34 = 101,537.55/x
  3. Step 3: Cross multiply
    338,176.42x = 507,338.34 × 101,537.55
  4. Step 4: Simplify right side
    338,176.42x = 51,513,891,683.90
  5. Step 5: Solve for x
    x = 51,513,891,683.90/338,176.42
  6. Step 6: Final answer
    x = 152,328.46

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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.