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Finding the Fourth Proportional to 102,358, 153,515.82 and 27,460.39

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Solution

The fourth proportional to 102,358, 153,515.82 and 27,460.39 is: 41,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,358 : 153,515.82 = 27,460.39 : x
  2. Step 2: Convert to fraction form
    102,358/153,515.82 = 27,460.39/x
  3. Step 3: Cross multiply
    102,358x = 153,515.82 × 27,460.39
  4. Step 4: Simplify right side
    102,358x = 4,215,604,288.37
  5. Step 5: Solve for x
    x = 4,215,604,288.37/102,358
  6. Step 6: Final answer
    x = 41,184.90

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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.