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Finding the Fourth Proportional to 285,147.92, 393,547.20 and 164,307.08

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Solution

The fourth proportional to 285,147.92, 393,547.20 and 164,307.08 is: 226,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,147.92 : 393,547.20 = 164,307.08 : x
  2. Step 2: Convert to fraction form
    285,147.92/393,547.20 = 164,307.08/x
  3. Step 3: Cross multiply
    285,147.92x = 393,547.20 × 164,307.08
  4. Step 4: Simplify right side
    285,147.92x = 64,662,591,274.18
  5. Step 5: Solve for x
    x = 64,662,591,274.18/285,147.92
  6. Step 6: Final answer
    x = 226,768.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.