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Finding the Fourth Proportional to 119,358, 164,714.22 and 69,060.24

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Solution

The fourth proportional to 119,358, 164,714.22 and 69,060.24 is: 95,303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,358 : 164,714.22 = 69,060.24 : x
  2. Step 2: Convert to fraction form
    119,358/164,714.22 = 69,060.24/x
  3. Step 3: Cross multiply
    119,358x = 164,714.22 × 69,060.24
  4. Step 4: Simplify right side
    119,358x = 11,375,203,564.61
  5. Step 5: Solve for x
    x = 11,375,203,564.61/119,358
  6. Step 6: Final answer
    x = 95,303.24

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Why These Related Problems?

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