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Finding the Fourth Proportional to 306,884.33, 460,031.25 and 157,195.12

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Solution

The fourth proportional to 306,884.33, 460,031.25 and 157,195.12 is: 235,641.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,884.33 : 460,031.25 = 157,195.12 : x
  2. Step 2: Convert to fraction form
    306,884.33/460,031.25 = 157,195.12/x
  3. Step 3: Cross multiply
    306,884.33x = 460,031.25 × 157,195.12
  4. Step 4: Simplify right side
    306,884.33x = 72,314,667,547.50
  5. Step 5: Solve for x
    x = 72,314,667,547.50/306,884.33
  6. Step 6: Final answer
    x = 235,641.45

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