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Finding the Fourth Proportional to 235,328.56, 353,036.58 and 77,568.16

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Solution

The fourth proportional to 235,328.56, 353,036.58 and 77,568.16 is: 116,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,328.56 : 353,036.58 = 77,568.16 : x
  2. Step 2: Convert to fraction form
    235,328.56/353,036.58 = 77,568.16/x
  3. Step 3: Cross multiply
    235,328.56x = 353,036.58 × 77,568.16
  4. Step 4: Simplify right side
    235,328.56x = 27,384,397,923.29
  5. Step 5: Solve for x
    x = 27,384,397,923.29/235,328.56
  6. Step 6: Final answer
    x = 116,366.66

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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.