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Finding the Fourth Proportional to 235,311.56, 353,011.08 and 77,551.10

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Solution

The fourth proportional to 235,311.56, 353,011.08 and 77,551.10 is: 116,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,311.56 : 353,011.08 = 77,551.10 : x
  2. Step 2: Convert to fraction form
    235,311.56/353,011.08 = 77,551.10/x
  3. Step 3: Cross multiply
    235,311.56x = 353,011.08 × 77,551.10
  4. Step 4: Simplify right side
    235,311.56x = 27,376,397,566.19
  5. Step 5: Solve for x
    x = 27,376,397,566.19/235,311.56
  6. Step 6: Final answer
    x = 116,341.07

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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.