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Finding the Fourth Proportional to 338,149.32, 507,322.76 and 151,117.08

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Solution

The fourth proportional to 338,149.32, 507,322.76 and 151,117.08 is: 226,719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,149.32 : 507,322.76 = 151,117.08 : x
  2. Step 2: Convert to fraction form
    338,149.32/507,322.76 = 151,117.08/x
  3. Step 3: Cross multiply
    338,149.32x = 507,322.76 × 151,117.08
  4. Step 4: Simplify right side
    338,149.32x = 76,665,133,353.16
  5. Step 5: Solve for x
    x = 76,665,133,353.16/338,149.32
  6. Step 6: Final answer
    x = 226,719.76

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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.