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Finding the Fourth Proportional to 178,226.55, 245,949.45 and 105,678.29

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Solution

The fourth proportional to 178,226.55, 245,949.45 and 105,678.29 is: 145,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,226.55 : 245,949.45 = 105,678.29 : x
  2. Step 2: Convert to fraction form
    178,226.55/245,949.45 = 105,678.29/x
  3. Step 3: Cross multiply
    178,226.55x = 245,949.45 × 105,678.29
  4. Step 4: Simplify right side
    178,226.55x = 25,991,516,072.69
  5. Step 5: Solve for x
    x = 25,991,516,072.69/178,226.55
  6. Step 6: Final answer
    x = 145,834.14

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1.5x scale

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.