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Finding the Fourth Proportional to 176,646.30, 265,082.85 and 97,817.10

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Solution

The fourth proportional to 176,646.30, 265,082.85 and 97,817.10 is: 146,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,646.30 : 265,082.85 = 97,817.10 : x
  2. Step 2: Convert to fraction form
    176,646.30/265,082.85 = 97,817.10/x
  3. Step 3: Cross multiply
    176,646.30x = 265,082.85 × 97,817.10
  4. Step 4: Simplify right side
    176,646.30x = 25,929,635,646.74
  5. Step 5: Solve for x
    x = 25,929,635,646.74/176,646.30
  6. Step 6: Final answer
    x = 146,788.44

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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.