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Finding the Fourth Proportional to 119,070, 178,631.12 and 34,837.29

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Solution

The fourth proportional to 119,070, 178,631.12 and 34,837.29 is: 52,263.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,070 : 178,631.12 = 34,837.29 : x
  2. Step 2: Convert to fraction form
    119,070/178,631.12 = 34,837.29/x
  3. Step 3: Cross multiply
    119,070x = 178,631.12 × 34,837.29
  4. Step 4: Simplify right side
    119,070x = 6,223,024,217.56
  5. Step 5: Solve for x
    x = 6,223,024,217.56/119,070
  6. Step 6: Final answer
    x = 52,263.58

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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.