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Finding the Fourth Proportional to 231,182.71, 346,774.06 and 64,970.71

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Solution

The fourth proportional to 231,182.71, 346,774.06 and 64,970.71 is: 97,456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,182.71 : 346,774.06 = 64,970.71 : x
  2. Step 2: Convert to fraction form
    231,182.71/346,774.06 = 64,970.71/x
  3. Step 3: Cross multiply
    231,182.71x = 346,774.06 × 64,970.71
  4. Step 4: Simplify right side
    231,182.71x = 22,530,154,829.06
  5. Step 5: Solve for x
    x = 22,530,154,829.06/231,182.71
  6. Step 6: Final answer
    x = 97,456.06

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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.