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Finding the Fourth Proportional to 119,234, 164,577.48 and 79,490

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Solution

The fourth proportional to 119,234, 164,577.48 and 79,490 is: 109,719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,234 : 164,577.48 = 79,490 : x
  2. Step 2: Convert to fraction form
    119,234/164,577.48 = 79,490/x
  3. Step 3: Cross multiply
    119,234x = 164,577.48 × 79,490
  4. Step 4: Simplify right side
    119,234x = 13,082,263,885.20
  5. Step 5: Solve for x
    x = 13,082,263,885.20/119,234
  6. Step 6: Final answer
    x = 109,719.24

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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.